Finding the Fourth Proportional to 1,022.12, 1,410.56 and 580.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.12 : 1,410.56 = 580.10 : x
2. Step 2: Convert to fraction form
   1,022.12/1,410.56 = 580.10/x
3. Step 3: Cross multiply
   1,022.12x = 1,410.56 × 580.10
4. Step 4: Simplify right side
   1,022.12x = 818,268.66
5. Step 5: Solve for x
   x = 818,268.66/1,022.12
6. Step 6: Final answer
   x = 800.56