Finding the Fourth Proportional to 1,022.00, 1,532.30 and 560.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.00 : 1,532.30 = 560.00 : x
2. Step 2: Convert to fraction form
   1,022.00/1,532.30 = 560.00/x
3. Step 3: Cross multiply
   1,022.00x = 1,532.30 × 560.00
4. Step 4: Simplify right side
   1,022.00x = 858,077.54
5. Step 5: Solve for x
   x = 858,077.54/1,022.00
6. Step 6: Final answer
   x = 839.61