Finding the Fourth Proportional to 1,022.52, 1,410.66 and 712.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.52 : 1,410.66 = 712.20 : x
2. Step 2: Convert to fraction form
   1,022.52/1,410.66 = 712.20/x
3. Step 3: Cross multiply
   1,022.52x = 1,410.66 × 712.20
4. Step 4: Simplify right side
   1,022.52x = 1,004,672.05
5. Step 5: Solve for x
   x = 1,004,672.05/1,022.52
6. Step 6: Final answer
   x = 982.55