Finding the Fourth Proportional to 1,778.78, 2,454.37 and 1,149.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.78 : 2,454.37 = 1,149.12 : x
2. Step 2: Convert to fraction form
   1,778.78/2,454.37 = 1,149.12/x
3. Step 3: Cross multiply
   1,778.78x = 2,454.37 × 1,149.12
4. Step 4: Simplify right side
   1,778.78x = 2,820,362.78
5. Step 5: Solve for x
   x = 2,820,362.78/1,778.78
6. Step 6: Final answer
   x = 1,585.56