Finding the Fourth Proportional to 1,025.27, 1,414.73 and 583.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.27 : 1,414.73 = 583.15 : x
2. Step 2: Convert to fraction form
   1,025.27/1,414.73 = 583.15/x
3. Step 3: Cross multiply
   1,025.27x = 1,414.73 × 583.15
4. Step 4: Simplify right side
   1,025.27x = 824,997.72
5. Step 5: Solve for x
   x = 824,997.72/1,025.27
6. Step 6: Final answer
   x = 804.66