Finding the Fourth Proportional to 1,023.05, 1,411.57 and 580.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.05 : 1,411.57 = 580.90 : x
2. Step 2: Convert to fraction form
   1,023.05/1,411.57 = 580.90/x
3. Step 3: Cross multiply
   1,023.05x = 1,411.57 × 580.90
4. Step 4: Simplify right side
   1,023.05x = 819,981.01
5. Step 5: Solve for x
   x = 819,981.01/1,023.05
6. Step 6: Final answer
   x = 801.51