Finding the Fourth Proportional to 1,022.02, 1,410.38 and 579.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.02 : 1,410.38 = 579.94 : x
2. Step 2: Convert to fraction form
   1,022.02/1,410.38 = 579.94/x
3. Step 3: Cross multiply
   1,022.02x = 1,410.38 × 579.94
4. Step 4: Simplify right side
   1,022.02x = 817,935.78
5. Step 5: Solve for x
   x = 817,935.78/1,022.02
6. Step 6: Final answer
   x = 800.31