Finding the Fourth Proportional to 6,414.57, 8,851.86 and 3,762.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.57 : 8,851.86 = 3,762.27 : x
2. Step 2: Convert to fraction form
   6,414.57/8,851.86 = 3,762.27/x
3. Step 3: Cross multiply
   6,414.57x = 8,851.86 × 3,762.27
4. Step 4: Simplify right side
   6,414.57x = 33,303,087.32
5. Step 5: Solve for x
   x = 33,303,087.32/6,414.57
6. Step 6: Final answer
   x = 5,191.79