Speaking ahead of Mrs May’s announcement, Mr Cameron said: “I am absolutely determined that we are going to get to the bottom of these allegations and we’re going to leave no stone unturned to find out the truth about what happened – that is vital.
“It is also vital we learn the lessons right across the board from these things that have gone wrong.
“And it’s also important that the police feel that they can go wherever the evidence leads and they can make all the appropriate arrangements to investigate these things properly.”
Rochdale MP Simon Danczuk, whose questions in Parliament last week about the Dickens’ dossier fuelled pressure for an inquiry, welcomed Mrs May’s announcement.
“I am pleased the Government has shifted its position significantly in the last few days and announced a Hillsborough-style inquiry,” said Mr Danczuk. “This is the right thing to do and I welcome the fact that the Home Secretary has recognised the public mood and acted accordingly.
“Of course, the devil will be in the detail and I hope that the inquiry will have powers to hold the intelligence services and special branch to account where investigations into powerful child abusers have been discontinued or blocked.”