Finding the Fourth Proportional to 9,662.25, 13,333.95 and 5,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.25 : 13,333.95 = 5,470.50 : x
2. Step 2: Convert to fraction form
   9,662.25/13,333.95 = 5,470.50/x
3. Step 3: Cross multiply
   9,662.25x = 13,333.95 × 5,470.50
4. Step 4: Simplify right side
   9,662.25x = 72,943,373.48
5. Step 5: Solve for x
   x = 72,943,373.48/9,662.25
6. Step 6: Final answer
   x = 7,549.32