Finding the Fourth Proportional to 1,023.08, 1,411.76 and 580.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.08 : 1,411.76 = 580.91 : x
2. Step 2: Convert to fraction form
   1,023.08/1,411.76 = 580.91/x
3. Step 3: Cross multiply
   1,023.08x = 1,411.76 × 580.91
4. Step 4: Simplify right side
   1,023.08x = 820,099.90
5. Step 5: Solve for x
   x = 820,099.90/1,023.08
6. Step 6: Final answer
   x = 801.60