Company went out of business after I filed suit. Can I still move forward with it?

Yes, you can, though the type of entity the dissolved business is may have an impact on how you proceed.  For example, a dissolved LLC may defend suits brought against the LLC and the members of a dissolved LLC become trustees of the LLC's assets for purposes of any debt or claim against the LLC.  The law is similar, though not exactly the same, for corporations.  You should make sure you are proceeding against the proper parties. Of course, that does leave the question of whether, if it is out of business, the company or the owner have any money to satisfy a judgment even if you were to prevail.  You will have to, at a minimum, determine what assets the company had before it dissolved and what happened to those assets when it did.   An experience business attorney may be able to assist with these issues, which can be a bit complicated.