Finding the Fourth Proportional to 2,057.67, 3,082.64 and 1,016.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.67 : 3,082.64 = 1,016.46 : x
2. Step 2: Convert to fraction form
   2,057.67/3,082.64 = 1,016.46/x
3. Step 3: Cross multiply
   2,057.67x = 3,082.64 × 1,016.46
4. Step 4: Simplify right side
   2,057.67x = 3,133,375.17
5. Step 5: Solve for x
   x = 3,133,375.17/2,057.67
6. Step 6: Final answer
   x = 1,522.78