Finding the Fourth Proportional to 9,413.31, 12,990.78 and 5,637.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.31 : 12,990.78 = 5,637.09 : x
2. Step 2: Convert to fraction form
   9,413.31/12,990.78 = 5,637.09/x
3. Step 3: Cross multiply
   9,413.31x = 12,990.78 × 5,637.09
4. Step 4: Simplify right side
   9,413.31x = 73,230,244.75
5. Step 5: Solve for x
   x = 73,230,244.75/9,413.31
6. Step 6: Final answer
   x = 7,779.43