Finding the Fourth Proportional to 1,022.28, 1,410.63 and 580.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.28 : 1,410.63 = 580.18 : x
2. Step 2: Convert to fraction form
   1,022.28/1,410.63 = 580.18/x
3. Step 3: Cross multiply
   1,022.28x = 1,410.63 × 580.18
4. Step 4: Simplify right side
   1,022.28x = 818,419.31
5. Step 5: Solve for x
   x = 818,419.31/1,022.28
6. Step 6: Final answer
   x = 800.58