Finding the Fourth Proportional to 2,506.56, 3,759.12 and 775.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.56 : 3,759.12 = 775.20 : x
2. Step 2: Convert to fraction form
   2,506.56/3,759.12 = 775.20/x
3. Step 3: Cross multiply
   2,506.56x = 3,759.12 × 775.20
4. Step 4: Simplify right side
   2,506.56x = 2,914,069.82
5. Step 5: Solve for x
   x = 2,914,069.82/2,506.56
6. Step 6: Final answer
   x = 1,162.58