Finding the Fourth Proportional to 9,604.96, 13,255.20 and 5,413.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,604.96 : 13,255.20 = 5,413.60 : x
2. Step 2: Convert to fraction form
   9,604.96/13,255.20 = 5,413.60/x
3. Step 3: Cross multiply
   9,604.96x = 13,255.20 × 5,413.60
4. Step 4: Simplify right side
   9,604.96x = 71,758,350.72
5. Step 5: Solve for x
   x = 71,758,350.72/9,604.96
6. Step 6: Final answer
   x = 7,470.97