Finding the Fourth Proportional to 1,025.34, 1,414.86 and 583.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.34 : 1,414.86 = 583.20 : x
2. Step 2: Convert to fraction form
   1,025.34/1,414.86 = 583.20/x
3. Step 3: Cross multiply
   1,025.34x = 1,414.86 × 583.20
4. Step 4: Simplify right side
   1,025.34x = 825,146.35
5. Step 5: Solve for x
   x = 825,146.35/1,025.34
6. Step 6: Final answer
   x = 804.75