Finding the Fourth Proportional to 9,857.71, 13,601.60 and 5,665.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.71 : 13,601.60 = 5,665.15 : x
2. Step 2: Convert to fraction form
   9,857.71/13,601.60 = 5,665.15/x
3. Step 3: Cross multiply
   9,857.71x = 13,601.60 × 5,665.15
4. Step 4: Simplify right side
   9,857.71x = 77,055,104.24
5. Step 5: Solve for x
   x = 77,055,104.24/9,857.71
6. Step 6: Final answer
   x = 7,816.73