How to save my progress in Fallout 76?

Fallout 76 relies purely on automatic saves. I am yet to find a list of things that trigger said saves, but as far as I can tell, they appear to just be timed. However, with that said, you can force saves through fast travel.

With that said, there are ways in which players can predictably make the game save their current progress. By far the easiest method involves fast traveling. When you've made progress in the game but haven't seen a save notification recently, pull up the map and fast travel to a new destination. The C.A.M.P. should suit these purposes particularly well. After fast traveling, the game will save the player's current location, which effectively saves all of their progress up to that point.

Source