If you look at the entry for find in the Cambridge Dictionary, you will see that there is a separate definition for find yourself
to realize that you are in a particular situation or place, or doing a particular thing, when you did not intend to.
The verb is followed by a reflexive pronoun (myself, yourself, himself, herself, itself, ourselves, themselves) and then something to describe the situation- generally prepositional phrase or participial phrase.
With his supporters dropping out, he found himself in an untenable position - prepositional phrase
When the tide came in, I found myself trapped in the cave. - participial phrase- passsive/past participle
She somehow took a wrong turn, and found herself driving the wrong way down a one-way street. - participial phrase- active participle