Finding the Fourth Proportional to 9,865.27, 13,614.02 and 5,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865.27 : 13,614.02 = 5,616.50 : x
2. Step 2: Convert to fraction form
   9,865.27/13,614.02 = 5,616.50/x
3. Step 3: Cross multiply
   9,865.27x = 13,614.02 × 5,616.50
4. Step 4: Simplify right side
   9,865.27x = 76,463,143.33
5. Step 5: Solve for x
   x = 76,463,143.33/9,865.27
6. Step 6: Final answer
   x = 7,750.74