Finding the Fourth Proportional to 2,009.82, 3,011.85 and 1,142.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.82 : 3,011.85 = 1,142.34 : x
2. Step 2: Convert to fraction form
   2,009.82/3,011.85 = 1,142.34/x
3. Step 3: Cross multiply
   2,009.82x = 3,011.85 × 1,142.34
4. Step 4: Simplify right side
   2,009.82x = 3,440,556.73
5. Step 5: Solve for x
   x = 3,440,556.73/2,009.82
6. Step 6: Final answer
   x = 1,711.87