Sometimes, getting rich comes with fate. If you happen to win from lottery with its jackpot prize, then definitely you end up an instant millionaire. Now you don't need steady sources of income to make it happen because luck provides it for you.
However, if you are talking about small sources of income but with different sources, that won't probably make you rich, but will make your life comfortable to live and avoid getting into debt.
People are lucky to win lotteries and become rich overnight, making their finances stable. Others are born into wealthy families and inherit great wealth. Although the media is filled with stories of big winners in gambling who eventually went broke, I assume that there are also some of them who maximize their fortune. There are many people who also waste inherited wealth and others maintain or even increase it.
The fact is that regardless of how much you win in the lottery or inherit, if you don't have sound financial management skills, you will lose it within a short period. Money shouldn't be kept in the bank and spent at will, it should be invested for it to grow and produce more.