Finding the Fourth Proportional to 10,105.59, 15,145.73 and 5,413.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.59 : 15,145.73 = 5,413.97 : x
2. Step 2: Convert to fraction form
   10,105.59/15,145.73 = 5,413.97/x
3. Step 3: Cross multiply
   10,105.59x = 15,145.73 × 5,413.97
4. Step 4: Simplify right side
   10,105.59x = 81,998,589.40
5. Step 5: Solve for x
   x = 81,998,589.40/10,105.59
6. Step 6: Final answer
   x = 8,114.18