Finding the Fourth Proportional to 9,856.92, 13,601.97 and 5,665.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.92 : 13,601.97 = 5,665.17 : x
2. Step 2: Convert to fraction form
   9,856.92/13,601.97 = 5,665.17/x
3. Step 3: Cross multiply
   9,856.92x = 13,601.97 × 5,665.17
4. Step 4: Simplify right side
   9,856.92x = 77,057,472.38
5. Step 5: Solve for x
   x = 77,057,472.38/9,856.92
6. Step 6: Final answer
   x = 7,817.60