For those of us raised in Europe fractions are some kind of ancient druid type black magic, so I've translated the above passage into decimal wording. (I hope)
You must determine the fraction that the slope (6 inches) and the stated distance (13 feet) together represent: 6/13 = 1/2.16
divide the distance 13 by the slope 6 = 2.16
You then multiply 43.43 by this fraction (43.43 X 1/2.16 = 43.43/2.16),
Divide the original offset (in this case) 43.43 by the slope fraction (2.16)
43.43 divide by 2.16 = 20.11
and add the product of this multiplication (20.11) to 43.43, which gives 63.54
add the resulting number to the original offset i.e. 20.11 + 43.43 = 63.54
I hope this is an accurate translation from fractions to decimals (I'm pretty sure it is) and that it helps.