Finding the Fourth Proportional to 1,022.96, 1,532.70 and 676.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.96 : 1,532.70 = 676.10 : x
2. Step 2: Convert to fraction form
   1,022.96/1,532.70 = 676.10/x
3. Step 3: Cross multiply
   1,022.96x = 1,532.70 × 676.10
4. Step 4: Simplify right side
   1,022.96x = 1,036,258.47
5. Step 5: Solve for x
   x = 1,036,258.47/1,022.96
6. Step 6: Final answer
   x = 1,013.00