Finding the Fourth Proportional to 1,022.42, 1,410.95 and 580.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.42 : 1,410.95 = 580.31 : x
2. Step 2: Convert to fraction form
   1,022.42/1,410.95 = 580.31/x
3. Step 3: Cross multiply
   1,022.42x = 1,410.95 × 580.31
4. Step 4: Simplify right side
   1,022.42x = 818,788.39
5. Step 5: Solve for x
   x = 818,788.39/1,022.42
6. Step 6: Final answer
   x = 800.83