No module...
The obvious answer to your inquiry is that the older version of Fedora has a kernel that does not include a module or driver for your graphics. To how high a kernel number can you upgrade Fedora 7 and will it then boot the Intel graphics chip?
If you need the older Fedora, I think you will have to compile a new kernel for it with the necessary Intel driver. Alternatively, you could try to find out what changes critical for your needs have been made between the two versions of Fedora and build a new version of the kernel for Fedora 10 with suitable for your purposes versions of the files/functions that have been altered.
Intel does not provide any separate drivers, only source code or only driver support through the separate distributions, and unless you can get Fedora 7 to boot your Intel GMA 4500M chip maybe by using some cheatcode, you won't have access to any Fedora repository for a possible update to a working driver, that is if one has been made available for Fedora 7.
http://www.intel.com/support/graphics/sb/cs-010512.htm