Finding the Fourth Proportional to 9,720.88, 13,413.96 and 5,742.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,720.88 : 13,413.96 = 5,742.16 : x
2. Step 2: Convert to fraction form
   9,720.88/13,413.96 = 5,742.16/x
3. Step 3: Cross multiply
   9,720.88x = 13,413.96 × 5,742.16
4. Step 4: Simplify right side
   9,720.88x = 77,025,104.55
5. Step 5: Solve for x
   x = 77,025,104.55/9,720.88
6. Step 6: Final answer
   x = 7,923.68