Finding the Fourth Proportional to 2,510.25, 3,765.78 and 779.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510.25 : 3,765.78 = 779.28 : x
2. Step 2: Convert to fraction form
   2,510.25/3,765.78 = 779.28/x
3. Step 3: Cross multiply
   2,510.25x = 3,765.78 × 779.28
4. Step 4: Simplify right side
   2,510.25x = 2,934,597.04
5. Step 5: Solve for x
   x = 2,934,597.04/2,510.25
6. Step 6: Final answer
   x = 1,169.05