Finding the Fourth Proportional to 2,505.62, 3,758.78 and 774.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.62 : 3,758.78 = 774.38 : x
2. Step 2: Convert to fraction form
   2,505.62/3,758.78 = 774.38/x
3. Step 3: Cross multiply
   2,505.62x = 3,758.78 × 774.38
4. Step 4: Simplify right side
   2,505.62x = 2,910,707.20
5. Step 5: Solve for x
   x = 2,910,707.20/2,505.62
6. Step 6: Final answer
   x = 1,161.67