Finding the Fourth Proportional to 9,887.52, 13,646.16 and 5,695.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,887.52 : 13,646.16 = 5,695.68 : x
2. Step 2: Convert to fraction form
   9,887.52/13,646.16 = 5,695.68/x
3. Step 3: Cross multiply
   9,887.52x = 13,646.16 × 5,695.68
4. Step 4: Simplify right side
   9,887.52x = 77,724,160.59
5. Step 5: Solve for x
   x = 77,724,160.59/9,887.52
6. Step 6: Final answer
   x = 7,860.83