Finding the Fourth Proportional to 1,022.02, 1,531.16 and 559.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.02 : 1,531.16 = 559.10 : x
2. Step 2: Convert to fraction form
   1,022.02/1,531.16 = 559.10/x
3. Step 3: Cross multiply
   1,022.02x = 1,531.16 × 559.10
4. Step 4: Simplify right side
   1,022.02x = 856,071.56
5. Step 5: Solve for x
   x = 856,071.56/1,022.02
6. Step 6: Final answer
   x = 837.63