Finding the Fourth Proportional to 1,025.25, 1,414.73 and 583.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.25 : 1,414.73 = 583.16 : x
2. Step 2: Convert to fraction form
   1,025.25/1,414.73 = 583.16/x
3. Step 3: Cross multiply
   1,025.25x = 1,414.73 × 583.16
4. Step 4: Simplify right side
   1,025.25x = 825,003.96
5. Step 5: Solve for x
   x = 825,003.96/1,025.25
6. Step 6: Final answer
   x = 804.69