Finding the Fourth Proportional to 9,413.88, 12,991.08 and 5,164.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.88 : 12,991.08 = 5,164.93 : x
2. Step 2: Convert to fraction form
   9,413.88/12,991.08 = 5,164.93/x
3. Step 3: Cross multiply
   9,413.88x = 12,991.08 × 5,164.93
4. Step 4: Simplify right side
   9,413.88x = 67,098,018.82
5. Step 5: Solve for x
   x = 67,098,018.82/9,413.88
6. Step 6: Final answer
   x = 7,127.56