The presenters said in their witness accounts that they had a whistleblower statement supporting their allegations.
BBC director general Tim Davie was embroiled in the proceedings.
A fifth BBC presenter,Geeta Guru-Murthy, withdrew from the legal action on Wednesday.
Left to right: BBC News presenters Annita McVeigh, Martine Croxall, Karin Giannone and Kasia Madera.Getty
The BBC declined to comment.
