Finding the Fourth Proportional to 2,856.78, 3,942 and 1,677.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,856.78 : 3,942 = 1,677.83 : x
2. Step 2: Convert to fraction form
   2,856.78/3,942 = 1,677.83/x
3. Step 3: Cross multiply
   2,856.78x = 3,942 × 1,677.83
4. Step 4: Simplify right side
   2,856.78x = 6,613,986.15
5. Step 5: Solve for x
   x = 6,613,986.15/2,856.78
6. Step 6: Final answer
   x = 2,315.19