To solve this problem, we need to convert all the fractions to have a common denominator. In this case, the common denominator is 182.

1 5/7 = (71 + 5)/7 = 12/7
4 3/13 = (134 + 3)/13 = 55/13
1 19/26 = (26*1 + 19)/26 = 45/26

Now we can subtract the fractions:
12/7 - 55/13 - 45/26

To subtract fractions, we need to have the same denominator for all three fractions. In this case, the least common multiple of 7, 13, and 26 is 364. So we need to find equivalent fractions for each fraction with a denominator of 364:

(12/7)(52/52) = 624/364
(55/13)(28/28) = 1430/364
(45/26)*(14/14) = 630/364

Now we subtract:

624/364 - 1430/364 - 630/364 = -1436/364 = -359/91

Therefore, the result of the subtraction is -359/91.