Finding the Fourth Proportional to 10,413.41, 14,370.86 and 5,697.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.41 : 14,370.86 = 5,697.69 : x
2. Step 2: Convert to fraction form
   10,413.41/14,370.86 = 5,697.69/x
3. Step 3: Cross multiply
   10,413.41x = 14,370.86 × 5,697.69
4. Step 4: Simplify right side
   10,413.41x = 81,880,719.56
5. Step 5: Solve for x
   x = 81,880,719.56/10,413.41
6. Step 6: Final answer
   x = 7,863.01