Finding the Fourth Proportional to 6,414.77, 8,854.56 and 3,761.21

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.77 : 8,854.56 = 3,761.21 : x
2. Step 2: Convert to fraction form
   6,414.77/8,854.56 = 3,761.21/x
3. Step 3: Cross multiply
   6,414.77x = 8,854.56 × 3,761.21
4. Step 4: Simplify right side
   6,414.77x = 33,303,815.34
5. Step 5: Solve for x
   x = 33,303,815.34/6,414.77
6. Step 6: Final answer
   x = 5,191.74