RCA Output, Digital Input

Oct 8, 2018
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Been looking around but not sure I am finding what I am looking for. Apologies for the noob question:

TV is RCA projection 52" (Model # P52950 - great service, no issues) with analog audio out. I have a satellite receiver, Blue Ray, and a VCR to the inputs 1 and 2 (no issues) and would love to play the TV audio through a LG home theater system (model # HB-905 TA). Of course, right now it is just the Blue Ray that is playing through the system.

I am thinking I need an analog to digital converter to go from the TV to the system. Am I on the right track? I tried a Neoteck DAC audio converter linked below but got no sound.

https://www.amazon.ca/Neoteck-Digital-Converter-Optical-Coaxial/dp/B01HRJ9P84/ref=sr_1_1?s=electronics&ie=UTF8&qid=1539052234&sr=1-1&keywords=neoteck+dac+digital+to+analog+audio+converter

Any help would be greatly appreciated. TIA.