Finding the Fourth Proportional to 1,966.50, 2,713.50 and 1,082.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,966.50 : 2,713.50 = 1,082.16 : x
2. Step 2: Convert to fraction form
   1,966.50/2,713.50 = 1,082.16/x
3. Step 3: Cross multiply
   1,966.50x = 2,713.50 × 1,082.16
4. Step 4: Simplify right side
   1,966.50x = 2,936,441.16
5. Step 5: Solve for x
   x = 2,936,441.16/1,966.50
6. Step 6: Final answer
   x = 1,493.23