Finding the Fourth Proportional to 1,023.03, 1,411.82 and 580.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.03 : 1,411.82 = 580.94 : x
2. Step 2: Convert to fraction form
   1,023.03/1,411.82 = 580.94/x
3. Step 3: Cross multiply
   1,023.03x = 1,411.82 × 580.94
4. Step 4: Simplify right side
   1,023.03x = 820,172.75
5. Step 5: Solve for x
   x = 820,172.75/1,023.03
6. Step 6: Final answer
   x = 801.71