Finding the Fourth Proportional to 1,025.72, 1,415.49 and 583.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.72 : 1,415.49 = 583.62 : x
2. Step 2: Convert to fraction form
   1,025.72/1,415.49 = 583.62/x
3. Step 3: Cross multiply
   1,025.72x = 1,415.49 × 583.62
4. Step 4: Simplify right side
   1,025.72x = 826,100.78
5. Step 5: Solve for x
   x = 826,100.78/1,025.72
6. Step 6: Final answer
   x = 805.39