Every executor, administrator, guardian, conservator, trustee, trustee in bankruptcy, receiver or other person acting in a fiduciary capacity shall, when required, file with the Department of Revenue a sworn inventory showing in detail the amount and character of personal property in his hands, unless the inventory has been filed as a public record in the court in which the fiduciary qualifies. The department may examine the books and accounts of any person acting in a fiduciary capacity. No fiduciary shall receive a final discharge until he has satisfied the court settling his accounts that all taxes against the estate have been paid.