Herewego.
Kind of hard to say for sure. They seem to pretty much have the same guts inside. The 4500MHD is the mobile equivalent of the 4500HD, and technically
slightly more capable than the 4500X, but thanks to the 'mobile' configuration, is significantly downclocked, so is probably going to be less powerful (but also use less power) in this case. Beyond that, they're both DX10 and OGL2.1 compliant, and support the same sorts of hardware acceleration. The one difference in featureus is that the 4500MHD supports variable-length decoding. Damned if I know how useful or important that is, though.
Edit: My bad, I missed the "M" tacked onto the X4500M. So it's obviously a mobile variant as well, and probably also downclocked like the 4500MHD. So I'm going to guess that the 4500MHD is slightly more powerful/capable than the other.
Mind, we're talking about integrated laptop graphics, so it's probably a little like asking who brought the bigger spoon to a gunfight.