Finding the Fourth Proportional to 1,022.91, 1,411.71 and 580.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.91 : 1,411.71 = 580.84 : x
2. Step 2: Convert to fraction form
   1,022.91/1,411.71 = 580.84/x
3. Step 3: Cross multiply
   1,022.91x = 1,411.71 × 580.84
4. Step 4: Simplify right side
   1,022.91x = 819,977.64
5. Step 5: Solve for x
   x = 819,977.64/1,022.91
6. Step 6: Final answer
   x = 801.61