Finding the Fourth Proportional to 1,456.78, 2,185.72 and 677.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.78 : 2,185.72 = 677.16 : x
2. Step 2: Convert to fraction form
   1,456.78/2,185.72 = 677.16/x
3. Step 3: Cross multiply
   1,456.78x = 2,185.72 × 677.16
4. Step 4: Simplify right side
   1,456.78x = 1,480,082.16
5. Step 5: Solve for x
   x = 1,480,082.16/1,456.78
6. Step 6: Final answer
   x = 1,016.00