Finding the Fourth Proportional to 6,099.62, 8,414.38 and 3,857.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,099.62 : 8,414.38 = 3,857.72 : x
2. Step 2: Convert to fraction form
   6,099.62/8,414.38 = 3,857.72/x
3. Step 3: Cross multiply
   6,099.62x = 8,414.38 × 3,857.72
4. Step 4: Simplify right side
   6,099.62x = 32,460,270.30
5. Step 5: Solve for x
   x = 32,460,270.30/6,099.62
6. Step 6: Final answer
   x = 5,321.69