<u>While changing speech from direct to indirect change of tense is always carried in reported speech when past tense is used in the reporting speech. In such a case the tense in the reported speech shifts to the next tense.</u> As the tense in the reported speech is past indefinite and is followed by past continuous tense. So, the tense of reported speech is shifted to past continuous tense using second form of "was" as helping verb along with the present participle i.e arriving.
Answer: the first one is "champollion was named "keeper of the egyptian collections" the second one is "he had a tremendous job of deciphering and organizing to do" the third one is "his brother completed it for him" and the last one is "scholars were able to trace the entire history of egyptian writing