Finding the Fourth Proportional to 1,023.01, 1,411.82 and 580.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.01 : 1,411.82 = 580.95 : x
2. Step 2: Convert to fraction form
   1,023.01/1,411.82 = 580.95/x
3. Step 3: Cross multiply
   1,023.01x = 1,411.82 × 580.95
4. Step 4: Simplify right side
   1,023.01x = 820,196.83
5. Step 5: Solve for x
   x = 820,196.83/1,023.01
6. Step 6: Final answer
   x = 801.75