Finding the Fourth Proportional to 10,061.60, 15,106.80 and 5,687.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.60 : 15,106.80 = 5,687.60 : x
2. Step 2: Convert to fraction form
   10,061.60/15,106.80 = 5,687.60/x
3. Step 3: Cross multiply
   10,061.60x = 15,106.80 × 5,687.60
4. Step 4: Simplify right side
   10,061.60x = 85,921,435.68
5. Step 5: Solve for x
   x = 85,921,435.68/10,061.60
6. Step 6: Final answer
   x = 8,539.54