Finding the Fourth Proportional to 1,025.58, 1,415.30 and 559.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.58 : 1,415.30 = 559.83 : x
2. Step 2: Convert to fraction form
   1,025.58/1,415.30 = 559.83/x
3. Step 3: Cross multiply
   1,025.58x = 1,415.30 × 559.83
4. Step 4: Simplify right side
   1,025.58x = 792,324.60
5. Step 5: Solve for x
   x = 792,324.60/1,025.58
6. Step 6: Final answer
   x = 772.56