Finding the Fourth Proportional to 2,506.56, 3,760.20 and 774.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.56 : 3,760.20 = 774.78 : x
2. Step 2: Convert to fraction form
   2,506.56/3,760.20 = 774.78/x
3. Step 3: Cross multiply
   2,506.56x = 3,760.20 × 774.78
4. Step 4: Simplify right side
   2,506.56x = 2,913,327.76
5. Step 5: Solve for x
   x = 2,913,327.76/2,506.56
6. Step 6: Final answer
   x = 1,162.28