Finding the Fourth Proportional to 1,025.84, 1,415.61 and 583.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.84 : 1,415.61 = 583.79 : x
2. Step 2: Convert to fraction form
   1,025.84/1,415.61 = 583.79/x
3. Step 3: Cross multiply
   1,025.84x = 1,415.61 × 583.79
4. Step 4: Simplify right side
   1,025.84x = 826,411.88
5. Step 5: Solve for x
   x = 826,411.88/1,025.84
6. Step 6: Final answer
   x = 805.59