Finding the Fourth Proportional to 9,413.94, 12,991.48 and 5,165.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.94 : 12,991.48 = 5,165.18 : x
2. Step 2: Convert to fraction form
   9,413.94/12,991.48 = 5,165.18/x
3. Step 3: Cross multiply
   9,413.94x = 12,991.48 × 5,165.18
4. Step 4: Simplify right side
   9,413.94x = 67,103,352.23
5. Step 5: Solve for x
   x = 67,103,352.23/9,413.94
6. Step 6: Final answer
   x = 7,128.08