Finding the Fourth Proportional to 2,665.71, 3,682.40 and 2,138.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.71 : 3,682.40 = 2,138.09 : x
2. Step 2: Convert to fraction form
   2,665.71/3,682.40 = 2,138.09/x
3. Step 3: Cross multiply
   2,665.71x = 3,682.40 × 2,138.09
4. Step 4: Simplify right side
   2,665.71x = 7,873,273.51
5. Step 5: Solve for x
   x = 7,873,273.51/2,665.71
6. Step 6: Final answer
   x = 2,953.54