Finding the Fourth Proportional to 1,025.63, 1,415.34 and 583.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.63 : 1,415.34 = 583.57 : x
2. Step 2: Convert to fraction form
   1,025.63/1,415.34 = 583.57/x
3. Step 3: Cross multiply
   1,025.63x = 1,415.34 × 583.57
4. Step 4: Simplify right side
   1,025.63x = 825,951.73
5. Step 5: Solve for x
   x = 825,951.73/1,025.63
6. Step 6: Final answer
   x = 805.31