unfortunately the next thing I would recommend is a complete reinstall. There is no guarantee that it will work though

If you want to go that route do the below - you can try to skip the uninstall and reinstall of Civ4 and Warlords - just skip all those lines. However a truly complete reinstall would require getting rid of all. If you do this make sure to right click on all installers and all patches and choose run as administrator...
install the most recent version of DirectX 9c from
Microsoft
then do the following for a clean reinstall:
Uninstall and Reinstall Civ4 Warlords BtS :
Try to follow this order when doing stuff:
Use Control panel to uninstall Beyond the Sword, then Warlords, then Civ4
Delete "...\documents and settings\<username>\my documents\my games\sid meier's civilization 4" manually
Delete "...\documents and settings\<username>\my documents\my games\warlords" manually
Delete "...\documents and settings\<username>\my documents\my games\beyond the sword" manually
Delete "...\documents and settings\<username>\application data\my games\sid meier's civilization 4" manually
Delete "...\documents and settings\<username>\application data\my games\warlords" manually
Delete "...\documents and settings\<username>\application data\my games\beyond the sword" manually
Delete "...\documents and settings\<username>\local settings\application data\my games\sid meier's civilization 4" manually
Delete "...\documents and settings\<username>\local settings\application data\my games\warlords" manually
Delete "...\documents and settings\<username>\local settings\application data\my games\beyond the sword" manually
(note: application data is a hidden directory so you need to configure windows explorer to show hidden files, also these directories in application data are sometimes removed by the uninstall routine)
Delete "...\Program Files\InstallShield Installation Information\{CFBCE791-2D53-4FCE-B3FB-D6E01F4112E8}" (Civ4)
Delete "...\Program Files\InstallShield Installation Information\{3E4B349F-10B5-4586-9D99-489A90A8B228}" (Warlords)
Delete "...\Program Files\InstallShield Installation Information\{32E4F0D2-C135-475E-A841-1D59A0D22989}" (BtS)
(note: InstallShield Installation Information is a hidden directory so you need to configure windows explorer to show hidden files).
Install Civ4, immediately patch it to 1.61 (download it fresh from
here)
Install Warlords, immediately patch it to 2.08 (download it fresh from
here)
Install Beyond the Sword, immediately patch to 3.17 (download it fresh from
here).