She inquired at the office to get more detailed information.

Literal

[topic-は] more detailed information [object-を] obtain [in-order-to-ために], office [at-に] inquired.

問い合わせる ('to inquire, contact for information') is a compound verb fusing 問う ('to ask') and 合わせる ('to put together, match') — together evoking 'putting an inquiry together with someone.' It's the standard verb for formal inquiries to companies, offices, or institutions. ~を得る ('to obtain') in 情報を得る ('obtain information') is more formal than もらう or 手に入れる. The whole construction reads as a polished sentence from a business or news context.