Finding the Fourth Proportional to 2,067.82, 3,098.92 and 1,142

Step by Step Solution

1. Step 1: Write the proportion equation
   2,067.82 : 3,098.92 = 1,142 : x
2. Step 2: Convert to fraction form
   2,067.82/3,098.92 = 1,142/x
3. Step 3: Cross multiply
   2,067.82x = 3,098.92 × 1,142
4. Step 4: Simplify right side
   2,067.82x = 3,538,966.64
5. Step 5: Solve for x
   x = 3,538,966.64/2,067.82
6. Step 6: Final answer
   x = 1,711.45