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"were estimated at" is correct and usable in written English
You can use this phrase to refer to an estimation that has been made about something. For example, "The costs for the project were estimated at $5 million."
Exact(58)
Reserves were estimated at 600 million bbl.
Total billings were estimated at $30 million.
His annual earnings were estimated at $60,000,000.
Combined billings were estimated at $80 million.
Media billings were estimated at $8 million.
Billings were estimated at $20 million.
Billings were estimated at over $3 million.
Costs were estimated at fourteen billion dollars.
Billings were estimated at $50 million a year.
Total billings on those brands were estimated at $75 million.
Billings on the Church's account were estimated at $15 million.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com