Finding the Fourth Proportional to 1,022.00, 1,535.42 and 589.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.00 : 1,535.42 = 589.46 : x
2. Step 2: Convert to fraction form
   1,022.00/1,535.42 = 589.46/x
3. Step 3: Cross multiply
   1,022.00x = 1,535.42 × 589.46
4. Step 4: Simplify right side
   1,022.00x = 905,062.47
5. Step 5: Solve for x
   x = 905,062.47/1,022.00
6. Step 6: Final answer
   x = 885.58