Finding the Fourth Proportional to 2,627.83, 3,942.35 and 778.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.83 : 3,942.35 = 778.96 : x
2. Step 2: Convert to fraction form
   2,627.83/3,942.35 = 778.96/x
3. Step 3: Cross multiply
   2,627.83x = 3,942.35 × 778.96
4. Step 4: Simplify right side
   2,627.83x = 3,070,932.96
5. Step 5: Solve for x
   x = 3,070,932.96/2,627.83
6. Step 6: Final answer
   x = 1,168.62