Finding the Fourth Proportional to 1,022.39, 1,410.86 and 580.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.39 : 1,410.86 = 580.27 : x
2. Step 2: Convert to fraction form
   1,022.39/1,410.86 = 580.27/x
3. Step 3: Cross multiply
   1,022.39x = 1,410.86 × 580.27
4. Step 4: Simplify right side
   1,022.39x = 818,677.66
5. Step 5: Solve for x
   x = 818,677.66/1,022.39
6. Step 6: Final answer
   x = 800.75