Finding the Fourth Proportional to 1,022.65, 1,411.29 and 580.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.65 : 1,411.29 = 580.59 : x
2. Step 2: Convert to fraction form
   1,022.65/1,411.29 = 580.59/x
3. Step 3: Cross multiply
   1,022.65x = 1,411.29 × 580.59
4. Step 4: Simplify right side
   1,022.65x = 819,373.80
5. Step 5: Solve for x
   x = 819,373.80/1,022.65
6. Step 6: Final answer
   x = 801.23