Expression: "I have reached the last rung of my career ladder."

[Tom]

Hi

Do you find it correct and natural?

[Yankee]

Hi Tom

Your sentence is fine, but it suggests to me that you may have hit a dead end in your career -- i.e. you might like to progress further in your career, but are unable to. Was it your intention to suggest that?

I guess the exact interpretation of your sentence would be pretty context dependent.
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"Nearly all men can stand adversity, but if you want to test a man's character, give him power." ~ Abraham Lincoln

[Tom]

Amy, if one feels that one has reached one's saturation point in some office--or there is no more promotion to look forward to, can't he say? I am adding one word.

[Yankee]

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I suppose you could say that, Tom.

If it is clear from the broader context that you are referring to your career, you might hear sentences such as these:

- I've gone just about as far as I can go here. It's time to move on.
- My career is at a dead-end here.
- There are no challenges (or opportunities) left for me here.

And especially a woman might say something like this:
- I've hit the glass ceiling.
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_________________
"Nearly all men can stand adversity, but if you want to test a man's character, give him power." ~ Abraham Lincoln