Finding the Fourth Proportional to 2,628.16, 3,942.82 and 779.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628.16 : 3,942.82 = 779.42 : x
2. Step 2: Convert to fraction form
   2,628.16/3,942.82 = 779.42/x
3. Step 3: Cross multiply
   2,628.16x = 3,942.82 × 779.42
4. Step 4: Simplify right side
   2,628.16x = 3,073,112.76
5. Step 5: Solve for x
   x = 3,073,112.76/2,628.16
6. Step 6: Final answer
   x = 1,169.30