4 3/13 + x = 7 188/195

Convert mixed numbers to improper fractions:

4 3/13 = 55/13

7 188/195 = 1553/195

Equation becomes: 55/13 + x = 1553/195

Find a common denominator (195):

55/13 = (55 * 15) / (13 * 15) = 825/195

Equation becomes: 825/195 + x = 1553/195

Solve for x:

x = 1553/195 - 825/195

x = 728/195

Simplify the fraction (divide by 13):

x = 56/15

Convert back to a mixed number:

x = 3 11/15