Finding the Fourth Proportional to 1,022.88, 1,530.86 and 559.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.88 : 1,530.86 = 559.42 : x
2. Step 2: Convert to fraction form
   1,022.88/1,530.86 = 559.42/x
3. Step 3: Cross multiply
   1,022.88x = 1,530.86 × 559.42
4. Step 4: Simplify right side
   1,022.88x = 856,393.70
5. Step 5: Solve for x
   x = 856,393.70/1,022.88
6. Step 6: Final answer
   x = 837.24