Compare the digits from left to right.
All numbers have 5 digits. Compare the ten-thousands: all are 7.
Compare the thousands: 9, 9, 1, 1.
• Among 79163 and 79631: thousands both 9, hundreds: 1 < 6, so 79631 is greatest, then 79163.
• Among 71963 and 71639: thousands both 1, hundreds: 9 > 6, so 71963 comes next, then 71639.
Final Answer: 79631, 79163, 71963, 71639