Finding the Fourth Proportional to 8,989.83, 12,413.61 and 5,638.26

Step by Step Solution

1. Step 1: Write the proportion equation
   8,989.83 : 12,413.61 = 5,638.26 : x
2. Step 2: Convert to fraction form
   8,989.83/12,413.61 = 5,638.26/x
3. Step 3: Cross multiply
   8,989.83x = 12,413.61 × 5,638.26
4. Step 4: Simplify right side
   8,989.83x = 69,991,160.72
5. Step 5: Solve for x
   x = 69,991,160.72/8,989.83
6. Step 6: Final answer
   x = 7,785.59