Finding the Fourth Proportional to 1,022.94, 1,411.74 and 580.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.94 : 1,411.74 = 580.96 : x
2. Step 2: Convert to fraction form
   1,022.94/1,411.74 = 580.96/x
3. Step 3: Cross multiply
   1,022.94x = 1,411.74 × 580.96
4. Step 4: Simplify right side
   1,022.94x = 820,164.47
5. Step 5: Solve for x
   x = 820,164.47/1,022.94
6. Step 6: Final answer
   x = 801.77