Finding the Fourth Proportional to 1,022.29, 1,410.80 and 580.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.29 : 1,410.80 = 580.12 : x
2. Step 2: Convert to fraction form
   1,022.29/1,410.80 = 580.12/x
3. Step 3: Cross multiply
   1,022.29x = 1,410.80 × 580.12
4. Step 4: Simplify right side
   1,022.29x = 818,433.30
5. Step 5: Solve for x
   x = 818,433.30/1,022.29
6. Step 6: Final answer
   x = 800.59