Finding the Fourth Proportional to 9,413.82, 12,990.12 and 5,636.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.82 : 12,990.12 = 5,636.22 : x
2. Step 2: Convert to fraction form
   9,413.82/12,990.12 = 5,636.22/x
3. Step 3: Cross multiply
   9,413.82x = 12,990.12 × 5,636.22
4. Step 4: Simplify right side
   9,413.82x = 73,215,174.15
5. Step 5: Solve for x
   x = 73,215,174.15/9,413.82
6. Step 6: Final answer
   x = 7,777.41