Finding the Fourth Proportional to 9,639.14, 13,302.10 and 5,660.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,639.14 : 13,302.10 = 5,660.31 : x
2. Step 2: Convert to fraction form
   9,639.14/13,302.10 = 5,660.31/x
3. Step 3: Cross multiply
   9,639.14x = 13,302.10 × 5,660.31
4. Step 4: Simplify right side
   9,639.14x = 75,294,050.69
5. Step 5: Solve for x
   x = 75,294,050.69/9,639.14
6. Step 6: Final answer
   x = 7,811.29