Finding the Fourth Proportional to 1,022.47, 1,410.87 and 580.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.47 : 1,410.87 = 580.31 : x
2. Step 2: Convert to fraction form
   1,022.47/1,410.87 = 580.31/x
3. Step 3: Cross multiply
   1,022.47x = 1,410.87 × 580.31
4. Step 4: Simplify right side
   1,022.47x = 818,747.05
5. Step 5: Solve for x
   x = 818,747.05/1,022.47
6. Step 6: Final answer
   x = 800.75