Finding the Fourth Proportional to 1,025.83, 1,415.46 and 583.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.83 : 1,415.46 = 583.71 : x
2. Step 2: Convert to fraction form
   1,025.83/1,415.46 = 583.71/x
3. Step 3: Cross multiply
   1,025.83x = 1,415.46 × 583.71
4. Step 4: Simplify right side
   1,025.83x = 826,218.16
5. Step 5: Solve for x
   x = 826,218.16/1,025.83
6. Step 6: Final answer
   x = 805.41