We’ll need a bit better picture of how your network is constructed.
Is the 192.168.9.x subnet just a dedicated imaging network, or is it a general business network with printer and an internet connection?
Is the 192.168.10.x subnet your general business network? Does it have a connection to the internet?
Where is your upstream router? From that upstream router can you get to the internet?
Sebastian is right about configuring the fog server as a router to forward packets between the interfaces. Its not the best solution since all of the data between the nas and the target computers will flow through the FOG server. Its totally possible to do, I just want to make sure there isn’t a better way to go about this.
Is your FOG server a physical box or is it a VM?