Question about Yamaha Wxad-10

It does not support Chromcast. This device supports Bluetooth though, so you can connect your phone to it and stream YT, Google Music etc to it. This will however drain your phones battery. Using however Spotify, Deezer, Amazon Music will work over wifi (since they're official integrated with the MusicCast app. It also supports DLNA.

I agree with the last answer to the question. It doesn't support Chromecast, nor can you connect a Chromecast device to it. Having said that, when connected to an amplifier, the output quality of the WXAD-10's Burr-Brown DAC exceeds that of Chromecast.
To improve the audio quality of Chromecast, you can plug it into the optical input of a higher quality DAC. In this mode, you are using the Chromecast as a 'transport' for the WiFi signals.