Welcome Thammy. In general the statement that any router can be made to fit a router table is a true statement but those Sears tables are generally made to fit only certain Sears routers. Most router tables use a separate insert plate that the router gets attached to and the plate sits in a lipped (rabetted) opening in the table top.
Sears tables have very thin tops, too thin to rabbet an opening into. Instead they are drilled and the holes countersunk in a pattern that will fit certain Sears router models. Unless your router shares that same bolt pattern, the one that holds the black plastic sub base to the metal body, then your router won't fit that table. And to be honest, few people care as the Sears tables are generally pretty crappy. Grizzly sells a starter table that is far superior to that Sears table for about $130 and there are old threads on this forum that explain how to install your router onto the removable plate. If you have any problems or need help in any way you just have to ask here and we will help.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.