Finding the Fourth Proportional to 2,506.56, 3,758.72 and 775.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.56 : 3,758.72 = 775.04 : x
2. Step 2: Convert to fraction form
   2,506.56/3,758.72 = 775.04/x
3. Step 3: Cross multiply
   2,506.56x = 3,758.72 × 775.04
4. Step 4: Simplify right side
   2,506.56x = 2,913,158.35
5. Step 5: Solve for x
   x = 2,913,158.35/2,506.56
6. Step 6: Final answer
   x = 1,162.21