Finding the Fourth Proportional to 10,413.40, 14,370.24 and 5,697.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.40 : 14,370.24 = 5,697.76 : x
2. Step 2: Convert to fraction form
   10,413.40/14,370.24 = 5,697.76/x
3. Step 3: Cross multiply
   10,413.40x = 14,370.24 × 5,697.76
4. Step 4: Simplify right side
   10,413.40x = 81,878,178.66
5. Step 5: Solve for x
   x = 81,878,178.66/10,413.40
6. Step 6: Final answer
   x = 7,862.77