Finding the Fourth Proportional to 1,022.99, 1,411.72 and 580.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.99 : 1,411.72 = 580.96 : x
2. Step 2: Convert to fraction form
   1,022.99/1,411.72 = 580.96/x
3. Step 3: Cross multiply
   1,022.99x = 1,411.72 × 580.96
4. Step 4: Simplify right side
   1,022.99x = 820,147.24
5. Step 5: Solve for x
   x = 820,147.24/1,022.99
6. Step 6: Final answer
   x = 801.72