Lot is what you were born with.
Luck is when random things do or don't happen regardless of skill. You can manage it to an extent. Bad luck through being careful and various types of insurance, good luck mostly through participating. Buying bitcoin 3 years ago and selling at great profit now is pure luck. Maybe you influenced the market to grow, probably it was pure luck.
Fortune is the result of stochastic processes. You can do a thing, invest your skill and knowledge, and it can work out or not. Sometimes it works better, sometimes less. For instance, you launch a product that can do between $2k/month and $5k/month and it hits $4.5k/month instead of $2k. That's fortune. Your input affects your chances, but nothing is ever certain.
With time, fortunate events compound and the more often fortune works out for you, the higher your chance that it will continue to do so.
Or as Peter Dinklage says: "I hate that word—’lucky.’ It cheapens a lot of hard work. Living in Brooklyn in an apartment without any heat and paying for dinner at the bodega with dimes—I don’t think I felt myself lucky back then. Doing plays for 50 bucks and trying to be true to myself as an artist and turning down commercials where they wanted a leprechaun. Saying I was lucky negates the hard work I put in and spits on that guy who’s freezing his ass off back in Brooklyn. So I won’t say I’m lucky. I’m fortunate enough to find or attract very talented people. For some reason I found them, and they found me."