Finding the Fourth Proportional to 2,627.70, 3,940.38 and 778.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.70 : 3,940.38 = 778.16 : x
2. Step 2: Convert to fraction form
   2,627.70/3,940.38 = 778.16/x
3. Step 3: Cross multiply
   2,627.70x = 3,940.38 × 778.16
4. Step 4: Simplify right side
   2,627.70x = 3,066,246.10
5. Step 5: Solve for x
   x = 3,066,246.10/2,627.70
6. Step 6: Final answer
   x = 1,166.89