Finding the Fourth Proportional to 9,662.46, 13,333.80 and 5,470.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.46 : 13,333.80 = 5,470.71 : x
2. Step 2: Convert to fraction form
   9,662.46/13,333.80 = 5,470.71/x
3. Step 3: Cross multiply
   9,662.46x = 13,333.80 × 5,470.71
4. Step 4: Simplify right side
   9,662.46x = 72,945,353.00
5. Step 5: Solve for x
   x = 72,945,353.00/9,662.46
6. Step 6: Final answer
   x = 7,549.36