Finding the Fourth Proportional to 2,502.78, 3,754.22 and 771.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502.78 : 3,754.22 = 771.42 : x
2. Step 2: Convert to fraction form
   2,502.78/3,754.22 = 771.42/x
3. Step 3: Cross multiply
   2,502.78x = 3,754.22 × 771.42
4. Step 4: Simplify right side
   2,502.78x = 2,896,080.39
5. Step 5: Solve for x
   x = 2,896,080.39/2,502.78
6. Step 6: Final answer
   x = 1,157.15