Finding the Fourth Proportional to 9,889.29, 13,647.24 and 5,413.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,889.29 : 13,647.24 = 5,413.10 : x
2. Step 2: Convert to fraction form
   9,889.29/13,647.24 = 5,413.10/x
3. Step 3: Cross multiply
   9,889.29x = 13,647.24 × 5,413.10
4. Step 4: Simplify right side
   9,889.29x = 73,873,806.61
5. Step 5: Solve for x
   x = 73,873,806.61/9,889.29
6. Step 6: Final answer
   x = 7,470.08