can i ask why you want to use the firestick to stream content onto the monitor when you can stream the exact same content using the pc already connected to the monitor anyway?
what you want to do is possible BUT means buying a number of adaptors, and you will not be able to use both the pc and the firestick at the same time, also the monitor probably has to be hdcp compliant for the firestick to stream to it.
first you need an hdmi audio extractor device so you have an audio out connection you can use to connect to some speakers.
you can not get the firesticks audio to pass through the pc and use it's speakers directly but depending on if your speakers use a separate cable with jack's on each end, to connect the speakers to the pc and not a dedicated cable that comes out of them that plugs into the pc you could use an audio switch to switch between the pc's sound out and the firesticks sound out depending on which you want to hear.
you will also need a hdmi switch so you can connect 2 hdmi inputs to the 1 monitor and switch between them depending on what you want displayed.
so you'd need :-
an audio switch like this :- http://www.lightinth...CFWMq0woddLwMIA
an audio cable like this :- https://www.amazon.c...ck stereo cable
an hdmi audio extractor like this :- http://www.lightinth...CFdMV0wodyFAPug
an hdmi switch like this :- https://www.amazon.c...h/dp/B00629NHW6
and probably 2 hdmi cables :- https://www.amazon.c...ords=hdmi cable
so that's 5 or 6 things you'd need to buy to be able to use the firestick on the monitor with sound, and in my honest opinion would not be worth it when you can just stream the same content with the pc anyway.
you could use a single device like this instead of the 2 separate hdmi audio extractor and hdmi switch devices. :- https://www.amazon.c...E3HYHGTQ30HCS06
Edited by terry1966, 09 July 2016 - 12:46 PM.