If your TV has an external chromecast dongle or has chromecast built-in, then all you need is a computer with the Chrome Browser, it doesn't matter if its a PC or a Mac.
Here are the steps I found on the world wide web regarding casting from a mac, give it a try.
How to Chromecast from Mac to TV
Once your Chromecast is connected, it's incredibly easy to start casting content from your Mac to your TV. Just follow these simple steps:
1. Check Chromecast Setup on Mac and Open Chrome
Make sure your Chromecast is powered on and connected to your WiFi network. Then, launch the Chrome browser on your Mac.
2. Select Content to Cast
Within Chrome, navigate to the app, video, or content you want to cast. You can cast nearly anything displayed in the Chrome browser window, including videos, music, webpages, presentations, and more.
3. Click on the Cast Icon
At the top right of the Chrome window, click on the Cast icon (it looks like a WiFi symbol). A dropdown will appear, showing you any available Chromecast devices.
4. Choose Your Chromecast Device
From the dropdown, select the Chromecast device you want to stream to. Your Mac screen will begin casting to your TV.
5. Control Playback from Your Mac
You can now control the content's playback directly from your Mac. Use the play, pause, and volume controls on your Mac to adjust the stream on your TV.
6. Disconnect When Done
Once you're finished casting, simply click the "Disconnect" button in Chrome to stop streaming to your Chromecast. The stream will end on your TV.