Finding the Fourth Proportional to 9,889.61, 13,647.42 and 5,413.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,889.61 : 13,647.42 = 5,413.35 : x
2. Step 2: Convert to fraction form
   9,889.61/13,647.42 = 5,413.35/x
3. Step 3: Cross multiply
   9,889.61x = 13,647.42 × 5,413.35
4. Step 4: Simplify right side
   9,889.61x = 73,878,261.06
5. Step 5: Solve for x
   x = 73,878,261.06/9,889.61
6. Step 6: Final answer
   x = 7,470.29