Finding the Fourth Proportional to 6,856.57, 9,462.25 and 3,872.43

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.57 : 9,462.25 = 3,872.43 : x
2. Step 2: Convert to fraction form
   6,856.57/9,462.25 = 3,872.43/x
3. Step 3: Cross multiply
   6,856.57x = 9,462.25 × 3,872.43
4. Step 4: Simplify right side
   6,856.57x = 36,641,900.77
5. Step 5: Solve for x
   x = 36,641,900.77/6,856.57
6. Step 6: Final answer
   x = 5,344.06