Finding the Fourth Proportional to 1,022.14, 1,410.71 and 580.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.14 : 1,410.71 = 580.15 : x
2. Step 2: Convert to fraction form
   1,022.14/1,410.71 = 580.15/x
3. Step 3: Cross multiply
   1,022.14x = 1,410.71 × 580.15
4. Step 4: Simplify right side
   1,022.14x = 818,423.41
5. Step 5: Solve for x
   x = 818,423.41/1,022.14
6. Step 6: Final answer
   x = 800.70