Finding the Fourth Proportional to 6,856.91, 9,462.71 and 4,205.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.91 : 9,462.71 = 4,205.78 : x
2. Step 2: Convert to fraction form
   6,856.91/9,462.71 = 4,205.78/x
3. Step 3: Cross multiply
   6,856.91x = 9,462.71 × 4,205.78
4. Step 4: Simplify right side
   6,856.91x = 39,798,076.46
5. Step 5: Solve for x
   x = 39,798,076.46/6,856.91
6. Step 6: Final answer
   x = 5,804.08