Finding the Fourth Proportional to 1,022.30, 1,410.79 and 580.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.30 : 1,410.79 = 580.24 : x
2. Step 2: Convert to fraction form
   1,022.30/1,410.79 = 580.24/x
3. Step 3: Cross multiply
   1,022.30x = 1,410.79 × 580.24
4. Step 4: Simplify right side
   1,022.30x = 818,596.79
5. Step 5: Solve for x
   x = 818,596.79/1,022.30
6. Step 6: Final answer
   x = 800.74