Finding the Fourth Proportional to 6,142.58, 8,477.48 and 3,877.21

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.58 : 8,477.48 = 3,877.21 : x
2. Step 2: Convert to fraction form
   6,142.58/8,477.48 = 3,877.21/x
3. Step 3: Cross multiply
   6,142.58x = 8,477.48 × 3,877.21
4. Step 4: Simplify right side
   6,142.58x = 32,868,958.73
5. Step 5: Solve for x
   x = 32,868,958.73/6,142.58
6. Step 6: Final answer
   x = 5,351.01