Finding the Fourth Proportional to 1,022.41, 1,410.61 and 580.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.41 : 1,410.61 = 580.30 : x
2. Step 2: Convert to fraction form
   1,022.41/1,410.61 = 580.30/x
3. Step 3: Cross multiply
   1,022.41x = 1,410.61 × 580.30
4. Step 4: Simplify right side
   1,022.41x = 818,576.98
5. Step 5: Solve for x
   x = 818,576.98/1,022.41
6. Step 6: Final answer
   x = 800.63