Finding the Fourth Proportional to 1,022.00, 1,410.30 and 579.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.00 : 1,410.30 = 579.87 : x
2. Step 2: Convert to fraction form
   1,022.00/1,410.30 = 579.87/x
3. Step 3: Cross multiply
   1,022.00x = 1,410.30 × 579.87
4. Step 4: Simplify right side
   1,022.00x = 817,790.66
5. Step 5: Solve for x
   x = 817,790.66/1,022.00
6. Step 6: Final answer
   x = 800.19