Finding the Fourth Proportional to 2,510.52, 3,765.24 and 778.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510.52 : 3,765.24 = 778.76 : x
2. Step 2: Convert to fraction form
   2,510.52/3,765.24 = 778.76/x
3. Step 3: Cross multiply
   2,510.52x = 3,765.24 × 778.76
4. Step 4: Simplify right side
   2,510.52x = 2,932,218.30
5. Step 5: Solve for x
   x = 2,932,218.30/2,510.52
6. Step 6: Final answer
   x = 1,167.97