Non-diode OR-ing solution for n equivalent power sources
I believe you can use the LTC4412 for your purpose, specifically, three of them, one for each power input. Please look at figure 5 in the datasheet. This shows two of them doing load sharing for two inputs with a diode connecting a third input. Clearly, we can remove the diode and third input (equivalent to the "wall adapter" not being connected). This leaves two 4412s and MOSFETs acting as ideal diodes for two inputs. Isn't it clear that you can simply add a third 4412 and MOSFET for a third ideal diode and input?