Finding the Fourth Proportional to 2,857.16, 3,942.82 and 1,581

Step by Step Solution

1. Step 1: Write the proportion equation
   2,857.16 : 3,942.82 = 1,581 : x
2. Step 2: Convert to fraction form
   2,857.16/3,942.82 = 1,581/x
3. Step 3: Cross multiply
   2,857.16x = 3,942.82 × 1,581
4. Step 4: Simplify right side
   2,857.16x = 6,233,598.42
5. Step 5: Solve for x
   x = 6,233,598.42/2,857.16
6. Step 6: Final answer
   x = 2,181.75