Finding the Fourth Proportional to 1,022.08, 1,410.52 and 580.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.08 : 1,410.52 = 580.04 : x
2. Step 2: Convert to fraction form
   1,022.08/1,410.52 = 580.04/x
3. Step 3: Cross multiply
   1,022.08x = 1,410.52 × 580.04
4. Step 4: Simplify right side
   1,022.08x = 818,158.02
5. Step 5: Solve for x
   x = 818,158.02/1,022.08
6. Step 6: Final answer
   x = 800.48