Actually I can think of two ways you can do this:
1. Using your Fantom-G as a soundcard. To do this, you will have to install the Fantom-G USB drivers for your computer and select Fantom-G as the Audio Driver in your software. The next step would be to set the Fantom-G to "listen" your PC audio. To do this, hold Shift and press MIX IN on your Fantom-G. In the screen that will appear, set the first parameter to "USB Audio". Release both Shift and MIX IN and press again MIX IX to make it light up. You will hear your DAW's sound via the Fantom-G. Connect your Fantom-G to your Amp+speakers and you will then be able to listen your computer via your Fantom-g and amp system.
2. If you use another audio interface with your DAW, you can connect it to your Fantom-G via SPDIF or analog connection. Making the Fantom-G listen your DAW will be essentially the same as above. Look at (1) when I describe what you have to do with the MIX IN button.