Not even Orwell would have predicted that.
It's already the case for the City of London, which has been run by the City of London Corporation with a history that goes back over a thousand years
en.wikipedia.org
Business can vote in elections in the City of London, as of 2009, it was 24,000 of them, significantly outweighing people. The number of votes they get is dependent on how many people they employ, 2 votes if you employ 10, the highest is 75+
It has multiple billions of cash reserves, which is nice for them.
You can't be elected to office unless you're a freeman of the City of London. To qualify to be a freeman, you have to be approved by the aldermen.
It has wide ranging powers over financial institutions, and the financial conduct authority devolves some of its powers to it.
It even has a role in the House of Commons called the "City Remembrancer", whose job is to sit behind the Speaker's chair and remind the speaker that the City of London must be protected.
The more you look at the UK's institutions, the more mental it looks.