How can I load a Project Gutenberg book on my phone's Kindle app?

The Gutenberg site's [guide to Mobile devices](https://www.gutenberg.org/wiki/Gutenberg:MobileReader_Devices_How-To) doesn't address this question. It recommends the FBReader which I may install if else fails, but I'd prefer to use the Kindle app. Assuming it is possible, can somebody enumerate the steps to loading a book from the Project Gutenberg site to the Kindle App on my phone? My phone is a Nexus 4 running Android 4.2.2.