Finding the Fourth Proportional to 9,438.30, 13,025.58 and 5,661.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,438.30 : 13,025.58 = 5,661.61 : x
2. Step 2: Convert to fraction form
   9,438.30/13,025.58 = 5,661.61/x
3. Step 3: Cross multiply
   9,438.30x = 13,025.58 × 5,661.61
4. Step 4: Simplify right side
   9,438.30x = 73,745,753.98
5. Step 5: Solve for x
   x = 73,745,753.98/9,438.30
6. Step 6: Final answer
   x = 7,813.46