Finding the Fourth Proportional to 1,022.65, 1,411.37 and 580.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.65 : 1,411.37 = 580.69 : x
2. Step 2: Convert to fraction form
   1,022.65/1,411.37 = 580.69/x
3. Step 3: Cross multiply
   1,022.65x = 1,411.37 × 580.69
4. Step 4: Simplify right side
   1,022.65x = 819,576.72
5. Step 5: Solve for x
   x = 819,576.72/1,022.65
6. Step 6: Final answer
   x = 801.42