Finding the Fourth Proportional to 1,025.35, 1,414.73 and 583.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.35 : 1,414.73 = 583.49 : x
2. Step 2: Convert to fraction form
   1,025.35/1,414.73 = 583.49/x
3. Step 3: Cross multiply
   1,025.35x = 1,414.73 × 583.49
4. Step 4: Simplify right side
   1,025.35x = 825,483.81
5. Step 5: Solve for x
   x = 825,483.81/1,025.35
6. Step 6: Final answer
   x = 805.08