The final security patch for Office 2004 is update 11.6.6 which was released in 13 December 2011.
Office for Mac 2004 was written for PowerPC processors, which means Mac OS X 10.6.8 would be the latest OS X which runs Office 2004.
Office for Mac 2008 was the first and only Office for Mac in Universal Binary format, and it requires Mac OS X Tiger 10.4.9 or later.
Office for Mac 2011 was released in October 2010 and requires Mac with an Intel processor with Mac OS X Leopard (10.5) or later.
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