Finding the Fourth Proportional to 11,685.60, 17,517.97 and 5,106.58

Step by Step Solution

1. Step 1: Write the proportion equation
   11,685.60 : 17,517.97 = 5,106.58 : x
2. Step 2: Convert to fraction form
   11,685.60/17,517.97 = 5,106.58/x
3. Step 3: Cross multiply
   11,685.60x = 17,517.97 × 5,106.58
4. Step 4: Simplify right side
   11,685.60x = 89,456,877.83
5. Step 5: Solve for x
   x = 89,456,877.83/11,685.60
6. Step 6: Final answer
   x = 7,655.31