Finding the Fourth Proportional to 9,722.16, 13,413.47 and 5,744.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,722.16 : 13,413.47 = 5,744.61 : x
2. Step 2: Convert to fraction form
   9,722.16/13,413.47 = 5,744.61/x
3. Step 3: Cross multiply
   9,722.16x = 13,413.47 × 5,744.61
4. Step 4: Simplify right side
   9,722.16x = 77,055,125.17
5. Step 5: Solve for x
   x = 77,055,125.17/9,722.16
6. Step 6: Final answer
   x = 7,925.72