'in increasing danger' is correct and usable in written English.
You could use it to describe a situation where a risk or danger is continuing to grow or increase. Example: As global temperatures rise, species around the world are being put in increasing danger of extinction.
After her death, she was in increasing danger of being mythologised.
Another part of the answer is that highly indebted private companies are in increasing danger as the global economy worsens.
We also think that Saudi leaders are beginning to understand that they are in increasing danger of being left behind.
Which is why when the science shows that our environment is in increasing danger we have to act.
The charity's work was particularly needed "at a time when the horrific lessons of the last war seem to be in increasing danger of being forgotten", he added.
There was something about the year's conditions — the weather on social media, a certain psychological wind — that seemed to put us, as humans, in increasing danger of playing ourselves.
The brochure also emphasizes the importance of confidentiality, saying, "A slip to another client or to another stylist can result in increased danger to the victim".
This would only provoke adversaries to fight back by every means at their disposal, including terrorist attacks, putting Americans in increased danger.
The Local Government Association LGAarguesues that the cameras serve as a deterrent - particularly outside schools - and that without them, children and people with disabilities could be in increased danger.
Comments like these not only go against everything our military stands for, but only serve to put our troops on the ground in increased danger.
