Finding the Fourth Proportional to 1,022.55, 1,410.89 and 580.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.55 : 1,410.89 = 580.41 : x
2. Step 2: Convert to fraction form
   1,022.55/1,410.89 = 580.41/x
3. Step 3: Cross multiply
   1,022.55x = 1,410.89 × 580.41
4. Step 4: Simplify right side
   1,022.55x = 818,891.76
5. Step 5: Solve for x
   x = 818,891.76/1,022.55
6. Step 6: Final answer
   x = 800.83