Finding the Fourth Proportional to 1,022.15, 1,410.61 and 580.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.15 : 1,410.61 = 580.09 : x
2. Step 2: Convert to fraction form
   1,022.15/1,410.61 = 580.09/x
3. Step 3: Cross multiply
   1,022.15x = 1,410.61 × 580.09
4. Step 4: Simplify right side
   1,022.15x = 818,280.75
5. Step 5: Solve for x
   x = 818,280.75/1,022.15
6. Step 6: Final answer
   x = 800.55