Finding the Fourth Proportional to 1,022.67, 1,411.20 and 574.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.67 : 1,411.20 = 574.56 : x
2. Step 2: Convert to fraction form
   1,022.67/1,411.20 = 574.56/x
3. Step 3: Cross multiply
   1,022.67x = 1,411.20 × 574.56
4. Step 4: Simplify right side
   1,022.67x = 810,819.07
5. Step 5: Solve for x
   x = 810,819.07/1,022.67
6. Step 6: Final answer
   x = 792.85