Finding the Fourth Proportional to 1,022.27, 1,410.71 and 580.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.27 : 1,410.71 = 580.17 : x
2. Step 2: Convert to fraction form
   1,022.27/1,410.71 = 580.17/x
3. Step 3: Cross multiply
   1,022.27x = 1,410.71 × 580.17
4. Step 4: Simplify right side
   1,022.27x = 818,448.72
5. Step 5: Solve for x
   x = 818,448.72/1,022.27
6. Step 6: Final answer
   x = 800.62