Finding the Fourth Proportional to 1,022.37, 1,410.90 and 580.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.37 : 1,410.90 = 580.29 : x
2. Step 2: Convert to fraction form
   1,022.37/1,410.90 = 580.29/x
3. Step 3: Cross multiply
   1,022.37x = 1,410.90 × 580.29
4. Step 4: Simplify right side
   1,022.37x = 818,731.16
5. Step 5: Solve for x
   x = 818,731.16/1,022.37
6. Step 6: Final answer
   x = 800.82