Finding the Fourth Proportional to 2,506.49, 3,760.10 and 775.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.49 : 3,760.10 = 775.25 : x
2. Step 2: Convert to fraction form
   2,506.49/3,760.10 = 775.25/x
3. Step 3: Cross multiply
   2,506.49x = 3,760.10 × 775.25
4. Step 4: Simplify right side
   2,506.49x = 2,915,017.53
5. Step 5: Solve for x
   x = 2,915,017.53/2,506.49
6. Step 6: Final answer
   x = 1,162.99