Finding the Fourth Proportional to 1,022.26, 1,410.33 and 579.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.26 : 1,410.33 = 579.94 : x
2. Step 2: Convert to fraction form
   1,022.26/1,410.33 = 579.94/x
3. Step 3: Cross multiply
   1,022.26x = 1,410.33 × 579.94
4. Step 4: Simplify right side
   1,022.26x = 817,906.78
5. Step 5: Solve for x
   x = 817,906.78/1,022.26
6. Step 6: Final answer
   x = 800.10