Finding the Fourth Proportional to 6,419.38, 8,857.70 and 3,586.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,419.38 : 8,857.70 = 3,586.27 : x
2. Step 2: Convert to fraction form
   6,419.38/8,857.70 = 3,586.27/x
3. Step 3: Cross multiply
   6,419.38x = 8,857.70 × 3,586.27
4. Step 4: Simplify right side
   6,419.38x = 31,766,103.78
5. Step 5: Solve for x
   x = 31,766,103.78/6,419.38
6. Step 6: Final answer
   x = 4,948.47