The last installation step of Office 2010 ("InstallFinalize") attempts to install, via a substep "InstallOSppMof.x86", MOF files[1,2] by calling the MOF compiler mofcomp.exe  that should be natively present on (Windows XP/Server 2003 and) ReactOS, but doesn't find it, and therefore fails. This makes the Office 2010 installation fail at the very last step, indicated by the following debug traces:
The "fix" is therefore to import the MOF compiler stub from Wine to satisfy Office 2010 installation.
: "Managed Object Format (MOF)", https://msdn.microsoft.com/en-us/library/aa823192(v=vs.85).aspx
: "Using MOF Files", https://technet.microsoft.com/en-us/library/cc180827.aspx
: "mofcomp", https://msdn.microsoft.com/en-us/library/aa392389(v=vs.85).aspx