Finding the Fourth Proportional to 9,413.67, 12,989.89 and 5,636.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.67 : 12,989.89 = 5,636.74 : x
2. Step 2: Convert to fraction form
   9,413.67/12,989.89 = 5,636.74/x
3. Step 3: Cross multiply
   9,413.67x = 12,989.89 × 5,636.74
4. Step 4: Simplify right side
   9,413.67x = 73,220,614.18
5. Step 5: Solve for x
   x = 73,220,614.18/9,413.67
6. Step 6: Final answer
   x = 7,778.12