Finding the Fourth Proportional to 1,025.69, 1,415.75 and 583.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.69 : 1,415.75 = 583.83 : x
2. Step 2: Convert to fraction form
   1,025.69/1,415.75 = 583.83/x
3. Step 3: Cross multiply
   1,025.69x = 1,415.75 × 583.83
4. Step 4: Simplify right side
   1,025.69x = 826,554.40
5. Step 5: Solve for x
   x = 826,554.40/1,025.69
6. Step 6: Final answer
   x = 805.86