As someone who is at (near-)native level of English, I know all of these words, but as I'm not immersed in an area where use of English is prevalent, (as of now I am living in the Netherlands,) I don't encounter these words often enough to start seeing obvious patterns between the differences, and the dictionaries I have used didn't help. I have some general ideas, although I have general ideas on the meaning of some of the words.
Propensity seems to be a 'natural' inclination, i.e. "Man has the propensity to be selfish", and disposition seems to be related to opinions as in "He has a disposition to agree with those that are close to him." I don't have the faintest idea about the differences between the other three words that are left though.
Could anyone care to explain this all to me?