Finding the Fourth Proportional to 9,413.86, 12,991.30 and 5,165.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.86 : 12,991.30 = 5,165.14 : x
2. Step 2: Convert to fraction form
   9,413.86/12,991.30 = 5,165.14/x
3. Step 3: Cross multiply
   9,413.86x = 12,991.30 × 5,165.14
4. Step 4: Simplify right side
   9,413.86x = 67,101,883.28
5. Step 5: Solve for x
   x = 67,101,883.28/9,413.86
6. Step 6: Final answer
   x = 7,127.99