Finding the Fourth Proportional to 1,022.22, 1,410.71 and 580.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.22 : 1,410.71 = 580.14 : x
2. Step 2: Convert to fraction form
   1,022.22/1,410.71 = 580.14/x
3. Step 3: Cross multiply
   1,022.22x = 1,410.71 × 580.14
4. Step 4: Simplify right side
   1,022.22x = 818,406.40
5. Step 5: Solve for x
   x = 818,406.40/1,022.22
6. Step 6: Final answer
   x = 800.62