Finding the Fourth Proportional to 1,022.84, 1,411.63 and 580.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.84 : 1,411.63 = 580.89 : x
2. Step 2: Convert to fraction form
   1,022.84/1,411.63 = 580.89/x
3. Step 3: Cross multiply
   1,022.84x = 1,411.63 × 580.89
4. Step 4: Simplify right side
   1,022.84x = 819,997.65
5. Step 5: Solve for x
   x = 819,997.65/1,022.84
6. Step 6: Final answer
   x = 801.68