Finding the Fourth Proportional to 6,856.62, 9,462.15 and 3,712.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.62 : 9,462.15 = 3,712.80 : x
2. Step 2: Convert to fraction form
   6,856.62/9,462.15 = 3,712.80/x
3. Step 3: Cross multiply
   6,856.62x = 9,462.15 × 3,712.80
4. Step 4: Simplify right side
   6,856.62x = 35,131,070.52
5. Step 5: Solve for x
   x = 35,131,070.52/6,856.62
6. Step 6: Final answer
   x = 5,123.67