Finding the Fourth Proportional to 10,413.76, 14,370.70 and 5,697.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.76 : 14,370.70 = 5,697.74 : x
2. Step 2: Convert to fraction form
   10,413.76/14,370.70 = 5,697.74/x
3. Step 3: Cross multiply
   10,413.76x = 14,370.70 × 5,697.74
4. Step 4: Simplify right side
   10,413.76x = 81,880,512.22
5. Step 5: Solve for x
   x = 81,880,512.22/10,413.76
6. Step 6: Final answer
   x = 7,862.72