Finding the Fourth Proportional to 1,022.40, 1,410.77 and 574.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.40 : 1,410.77 = 574.18 : x
2. Step 2: Convert to fraction form
   1,022.40/1,410.77 = 574.18/x
3. Step 3: Cross multiply
   1,022.40x = 1,410.77 × 574.18
4. Step 4: Simplify right side
   1,022.40x = 810,033.83
5. Step 5: Solve for x
   x = 810,033.83/1,022.40
6. Step 6: Final answer
   x = 792.29