Finding the Fourth Proportional to 9,413.83, 12,990 and 5,636.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.83 : 12,990 = 5,636.47 : x
2. Step 2: Convert to fraction form
   9,413.83/12,990 = 5,636.47/x
3. Step 3: Cross multiply
   9,413.83x = 12,990 × 5,636.47
4. Step 4: Simplify right side
   9,413.83x = 73,217,745.30
5. Step 5: Solve for x
   x = 73,217,745.30/9,413.83
6. Step 6: Final answer
   x = 7,777.68