Finding the Fourth Proportional to 6,856.29, 9,461.61 and 3,872.12

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.29 : 9,461.61 = 3,872.12 : x
2. Step 2: Convert to fraction form
   6,856.29/9,461.61 = 3,872.12/x
3. Step 3: Cross multiply
   6,856.29x = 9,461.61 × 3,872.12
4. Step 4: Simplify right side
   6,856.29x = 36,636,442.01
5. Step 5: Solve for x
   x = 36,636,442.01/6,856.29
6. Step 6: Final answer
   x = 5,343.48