Finding the Fourth Proportional to 9,413.15, 12,992.51 and 5,637.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.15 : 12,992.51 = 5,637.24 : x
2. Step 2: Convert to fraction form
   9,413.15/12,992.51 = 5,637.24/x
3. Step 3: Cross multiply
   9,413.15x = 12,992.51 × 5,637.24
4. Step 4: Simplify right side
   9,413.15x = 73,241,868.89
5. Step 5: Solve for x
   x = 73,241,868.89/9,413.15
6. Step 6: Final answer
   x = 7,780.81