Finding the Fourth Proportional to 8,997.83, 12,413.17 and 5,638.35

Step by Step Solution

1. Step 1: Write the proportion equation
   8,997.83 : 12,413.17 = 5,638.35 : x
2. Step 2: Convert to fraction form
   8,997.83/12,413.17 = 5,638.35/x
3. Step 3: Cross multiply
   8,997.83x = 12,413.17 × 5,638.35
4. Step 4: Simplify right side
   8,997.83x = 69,989,782.97
5. Step 5: Solve for x
   x = 69,989,782.97/8,997.83
6. Step 6: Final answer
   x = 7,778.52