Unlike the days of the gold standard, it is impossible for the Federal Reserve to go bankrupt; it holds the legal monopoly of counterfeiting (of creating money out of thin air) in the entire country.
The modern welfare state, highly touted as soaking the rich to subsidize the poor, does no such thing. In fact, soaking the rich would have disastrous effects, not just for the rich but for the poor and middle classes themselves. For it is the rich who provide a proportionately greater amount of saving, investment capital, entrepreneurial foresight, and financing of technological innovation that has brought the Unites States to by far the highest standard of living - for the mass of the people - of any country in history.
So: if the chronic inflation undergone by Americans, and in almost every other country, is caused by the continuing creation of new money, and if in each country its governmental "Central Bank" (in the United States, the Federal Reserve) is the sole monopoly source and creator of all money, who then is responsible for the blight of inflation? Who except the very institution that is solely empowered to create money, that is, the Fed (and the Bank of England, and the Bank of Italy, and other central banks) itself?