Finding the Fourth Proportional to 1,025.24, 1,414.83 and 583.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.24 : 1,414.83 = 583.15 : x
2. Step 2: Convert to fraction form
   1,025.24/1,414.83 = 583.15/x
3. Step 3: Cross multiply
   1,025.24x = 1,414.83 × 583.15
4. Step 4: Simplify right side
   1,025.24x = 825,059.42
5. Step 5: Solve for x
   x = 825,059.42/1,025.24
6. Step 6: Final answer
   x = 804.75