Finding the Fourth Proportional to 9,662.72, 13,333.46 and 5,413.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.72 : 13,333.46 = 5,413.20 : x
2. Step 2: Convert to fraction form
   9,662.72/13,333.46 = 5,413.20/x
3. Step 3: Cross multiply
   9,662.72x = 13,333.46 × 5,413.20
4. Step 4: Simplify right side
   9,662.72x = 72,176,685.67
5. Step 5: Solve for x
   x = 72,176,685.67/9,662.72
6. Step 6: Final answer
   x = 7,469.60