diff --git a/static/js/skills.js b/static/js/skills.js
index d60c933a2..84974d446 100644
--- a/static/js/skills.js
+++ b/static/js/skills.js
@@ -8,6 +8,7 @@
 import uiModule from './ui.js';
 import * as spinnerModule from './spinner.js';
 import { bindMenuDismiss, dismissOrRemove } from './escMenuStack.js';
+import { topPortalZ } from './toolWindowZOrder.js';
 
 const API = window.location.origin;
 let skills = [];
@@ -437,6 +438,10 @@ function _openSkillMenu(btn, card, sk, name, isPublished) {
   menu.appendChild(cancelItem);
 
   document.body.appendChild(menu);
+  // Override the CSS z-index (100002) with a value derived from the live
+  // tool-window stack so the kebab menu stays above its modal even after the
+  // bring-to-front counter climbs past the static value (#4720).
+  menu.style.zIndex = String(topPortalZ());
   const r = btn.getBoundingClientRect();
   menu.style.top = (r.bottom + 4) + 'px';
   menu.style.right = Math.max(6, window.innerWidth - r.right) + 'px';
diff --git a/static/js/tasks.js b/static/js/tasks.js
index e44d13034..ef9015af7 100644
--- a/static/js/tasks.js
+++ b/static/js/tasks.js
@@ -6,6 +6,7 @@ import uiModule from './ui.js';
 import markdownModule from './markdown.js';
 import * as spinnerModule from './spinner.js';
 import { makeWindowDraggable } from './windowDrag.js';
+import { topPortalZ } from './toolWindowZOrder.js';
 import { sortModelIds } from './modelSort.js';
 import { ordinalSuffix } from './util/ordinal.js';
 import { bindMenuDismiss, dismissOrRemove } from './escMenuStack.js';
@@ -903,7 +904,7 @@ function _showTaskDropdown(anchor, items) {
   document.querySelectorAll('.task-dropdown').forEach(dismissOrRemove);
   const dd = document.createElement('div');
   dd.className = 'task-dropdown';
-  dd.style.cssText = 'position:fixed;z-index:100000;background:var(--panel);border:1px solid var(--border);border-radius:6px;box-shadow:0 4px 12px rgba(0,0,0,0.3);padding:4px;min-width:120px;';
+  dd.style.cssText = 'position:fixed;background:var(--panel);border:1px solid var(--border);border-radius:6px;box-shadow:0 4px 12px rgba(0,0,0,0.3);padding:4px;min-width:120px;';
   items.forEach(item => {
     const btn = document.createElement('button');
     btn.style.cssText = 'display:flex;align-items:center;gap:8px;width:100%;text-align:left;padding:6px 10px;border:none;background:none;color:var(--fg);font-size:11px;font-family:inherit;cursor:pointer;border-radius:4px;transition:background 0.1s;';
@@ -919,6 +920,10 @@ function _showTaskDropdown(anchor, items) {
     dd.appendChild(btn);
   });
   document.body.appendChild(dd);
+  // Sit above the currently-raised tool modal at any stack depth (#4720): the
+  // modal bring-to-front counter climbs unbounded, so a hardcoded z eventually
+  // loses. topPortalZ() derives the value from the live tool-window stack.
+  dd.style.zIndex = String(topPortalZ());
   const rect = anchor.getBoundingClientRect();
   let top = rect.bottom + 4;
   let left = rect.right - dd.offsetWidth;
diff --git a/static/style.css b/static/style.css
index c7bdc11a8..aa0b0f836 100644
--- a/static/style.css
+++ b/static/style.css
@@ -16960,7 +16960,8 @@ body:not(.email-doc-split-active) #email-lib-modal.email-lib-fullscreen:not(.mod
 /* Kebab dropdown */
 .skill-kebab-menu {
   position: fixed;
-  z-index: 100002;
+  /* z-index is set inline via topPortalZ() at open time (#4720); a static
+     value here loses once the modal bring-to-front counter climbs past it. */
   min-width: 150px;
   padding: 4px;
   background: var(--panel, var(--bg));
diff --git a/tests/test_portal_dropdown_z_js.py b/tests/test_portal_dropdown_z_js.py
index 6f34cfc1a..71248ee7c 100644
--- a/tests/test_portal_dropdown_z_js.py
+++ b/tests/test_portal_dropdown_z_js.py
@@ -9,6 +9,7 @@ and the dock-chip floor, without importing the browser-heavy UI modules.
 """
 
 import json
+import re
 import shutil
 import subprocess
 import textwrap
@@ -87,3 +88,22 @@ def test_portal_z_uses_chip_floor_when_the_open_modal_sits_below_it():
     )
 
     assert values == {"z": 10031}
+
+
+# tasks.js and skills.js were not in #4724's batch; #4767 routes their portaled
+# dropdowns through the same helper. Pin that they use topPortalZ() and carry no
+# hardcoded portal z-index, so they cannot regress to the #4720 bug.
+@pytest.mark.parametrize("rel", ["static/js/tasks.js", "static/js/skills.js"])
+def test_late_routed_dropdowns_use_top_portal_z(rel):
+    src = (ROOT / rel).read_text()
+    assert "topPortalZ" in src, f"{rel} must import/use topPortalZ()"
+    assert "topPortalZ()" in src, f"{rel} must call topPortalZ() for its dropdown z"
+
+
+@pytest.mark.parametrize("rel", ["static/js/tasks.js", "static/js/skills.js", "static/style.css"])
+def test_no_hardcoded_portal_z_literals_remain(rel):
+    src = (ROOT / rel).read_text()
+    # Match the exact 100000/100002 these dropdowns used; the trailing-digit
+    # guard avoids false-matching an unrelated 1000000 elsewhere.
+    hits = re.findall(r"z-index:\s*10000[02](?!\d)", src)
+    assert not hits, f"{rel} still has hardcoded portal z: {hits}"