Finding the Fourth Proportional to 9,856.04, 13,601.50 and 5,665.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.04 : 13,601.50 = 5,665.24 : x
2. Step 2: Convert to fraction form
   9,856.04/13,601.50 = 5,665.24/x
3. Step 3: Cross multiply
   9,856.04x = 13,601.50 × 5,665.24
4. Step 4: Simplify right side
   9,856.04x = 77,055,761.86
5. Step 5: Solve for x
   x = 77,055,761.86/9,856.04
6. Step 6: Final answer
   x = 7,818.13