Finding the Fourth Proportional to 2,865.42, 3,942.82 and 2,779.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,865.42 : 3,942.82 = 2,779.83 : x
2. Step 2: Convert to fraction form
   2,865.42/3,942.82 = 2,779.83/x
3. Step 3: Cross multiply
   2,865.42x = 3,942.82 × 2,779.83
4. Step 4: Simplify right side
   2,865.42x = 10,960,369.32
5. Step 5: Solve for x
   x = 10,960,369.32/2,865.42
6. Step 6: Final answer
   x = 3,825.05