The Optical output can only provide audio from the Digital tuner.
The RCA Audio out on your TV only provides Audio for the RCA connectors connected -- the Video outputs and the component outputs. You have to turn OFF the speakers to make them turn on.
The HDMI inputs -- there is no information about whether the RCA Audio outputs will deliver audio from those. You'll have to try that, but the HDMI audio is digital. To get those working, the TV would require a digital to analog converter, and Visio does not mention that.
Look at this, I've highlighted information on both Audio outputs.
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The ONLY way your optical output comes alive on the TV is if you are watching a Digital TV channel with an outdoor aerial.
If you have a cable or satellite box, you must connect their optical out directly to your stereo. That's how you deliver it. The TV's other connection -- the RCA audio out...that works on all the inputs with RCA connectors for sure. The TV's HDMI -- usually you route the cable from the cable box to the Amp first, then route the HDMI output on the Amp to the TV next. Otherwise you connect the Cable box's optical out to the amp's Optical In.
Getting late here -- if you have any questions, I'll answer them in the morning
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