To solve this problem, we first need to convert all the mixed numbers into improper fractions.

1 3/5 = (51 + 3)/5 = 8/5
2 4/7 = (72 + 4)/7 = 18/7
1 1/10 = (101 + 1)/10 = 11/10
1 7/10 = (101 + 7)/10 = 17/10
1 4/7 = (7*1 + 4)/7 = 11/7

Now we can perform the operations:

(8/5) (18/7) + (18/7) (11/10) - (17/10) (11/7)
= (8/5) (18/7) + (18/7) (11/10) - (17/10) (11/7)
= (144/35) + (198/70) - (187/70)
= (144/35) + (99/35) - (187/70)
= (288/70) + (198/70) - (187/70)
= (288 + 198 - 187) / 70
= 299/70

Therefore, the final answer is 299/70.