Finding the Fourth Proportional to 9,889.50, 13,647.53 and 5,413.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,889.50 : 13,647.53 = 5,413.29 : x
2. Step 2: Convert to fraction form
   9,889.50/13,647.53 = 5,413.29/x
3. Step 3: Cross multiply
   9,889.50x = 13,647.53 × 5,413.29
4. Step 4: Simplify right side
   9,889.50x = 73,878,037.67
5. Step 5: Solve for x
   x = 73,878,037.67/9,889.50
6. Step 6: Final answer
   x = 7,470.35