Finding the Fourth Proportional to 9,662.40, 13,332.96 and 5,413.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.40 : 13,332.96 = 5,413.68 : x
2. Step 2: Convert to fraction form
   9,662.40/13,332.96 = 5,413.68/x
3. Step 3: Cross multiply
   9,662.40x = 13,332.96 × 5,413.68
4. Step 4: Simplify right side
   9,662.40x = 72,180,378.89
5. Step 5: Solve for x
   x = 72,180,378.89/9,662.40
6. Step 6: Final answer
   x = 7,470.23