Finding the Fourth Proportional to 9,413.86, 12,991.26 and 5,164.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.86 : 12,991.26 = 5,164.85 : x
2. Step 2: Convert to fraction form
   9,413.86/12,991.26 = 5,164.85/x
3. Step 3: Cross multiply
   9,413.86x = 12,991.26 × 5,164.85
4. Step 4: Simplify right side
   9,413.86x = 67,097,887.98
5. Step 5: Solve for x
   x = 67,097,887.98/9,413.86
6. Step 6: Final answer
   x = 7,127.56