Finding the Fourth Proportional to 1,025.32, 1,414.83 and 583.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.32 : 1,414.83 = 583.06 : x
2. Step 2: Convert to fraction form
   1,025.32/1,414.83 = 583.06/x
3. Step 3: Cross multiply
   1,025.32x = 1,414.83 × 583.06
4. Step 4: Simplify right side
   1,025.32x = 824,930.78
5. Step 5: Solve for x
   x = 824,930.78/1,025.32
6. Step 6: Final answer
   x = 804.56