Finding the Fourth Proportional to 1,022.77, 1,411.29 and 580.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.77 : 1,411.29 = 580.58 : x
2. Step 2: Convert to fraction form
   1,022.77/1,411.29 = 580.58/x
3. Step 3: Cross multiply
   1,022.77x = 1,411.29 × 580.58
4. Step 4: Simplify right side
   1,022.77x = 819,359.69
5. Step 5: Solve for x
   x = 819,359.69/1,022.77
6. Step 6: Final answer
   x = 801.12