The free Google Slides app, available for Android devices and iPhone/iPad, can open most presentation formats and cast it to your Chromecast or Apple TV using Airplay. After opening your presentation in Google Slides, select the drop-down arrow and click on the Present option button. Google's 'Chromecast' is a $50 Wi-Fi HDMI dongle that connects your projector or TV to your Wi-Fi network and the internet.
If you have LibreOffice (get the free 130MB open-source productivity suite at LibreOffice.org) you can also control a LibreOffice presentation using the LibreOffice Impress Remote app, available for Android and iPhone/iPad. •
See Control presentations from a mobile device for more information.