Finding the Fourth Proportional to 1,895.78, 2,616.42 and 1,149.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,895.78 : 2,616.42 = 1,149.77 : x
2. Step 2: Convert to fraction form
   1,895.78/2,616.42 = 1,149.77/x
3. Step 3: Cross multiply
   1,895.78x = 2,616.42 × 1,149.77
4. Step 4: Simplify right side
   1,895.78x = 3,008,281.22
5. Step 5: Solve for x
   x = 3,008,281.22/1,895.78
6. Step 6: Final answer
   x = 1,586.83