Finding the Fourth Proportional to 1,022.31, 1,410.98 and 580.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.31 : 1,410.98 = 580.23 : x
2. Step 2: Convert to fraction form
   1,022.31/1,410.98 = 580.23/x
3. Step 3: Cross multiply
   1,022.31x = 1,410.98 × 580.23
4. Step 4: Simplify right side
   1,022.31x = 818,690.02
5. Step 5: Solve for x
   x = 818,690.02/1,022.31
6. Step 6: Final answer
   x = 800.82