Finding the Fourth Proportional to 9,661.82, 13,333.53 and 5,413.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,661.82 : 13,333.53 = 5,413.20 : x
2. Step 2: Convert to fraction form
   9,661.82/13,333.53 = 5,413.20/x
3. Step 3: Cross multiply
   9,661.82x = 13,333.53 × 5,413.20
4. Step 4: Simplify right side
   9,661.82x = 72,176,970.86
5. Step 5: Solve for x
   x = 72,176,970.86/9,661.82
6. Step 6: Final answer
   x = 7,470.33