Finding the Fourth Proportional to 2,627.94, 3,940.71 and 778.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.94 : 3,940.71 = 778.40 : x
2. Step 2: Convert to fraction form
   2,627.94/3,940.71 = 778.40/x
3. Step 3: Cross multiply
   2,627.94x = 3,940.71 × 778.40
4. Step 4: Simplify right side
   2,627.94x = 3,067,448.66
5. Step 5: Solve for x
   x = 3,067,448.66/2,627.94
6. Step 6: Final answer
   x = 1,167.24