Finding the Fourth Proportional to 2,109.81, 3,177.30 and 1,839.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.81 : 3,177.30 = 1,839.27 : x
2. Step 2: Convert to fraction form
   2,109.81/3,177.30 = 1,839.27/x
3. Step 3: Cross multiply
   2,109.81x = 3,177.30 × 1,839.27
4. Step 4: Simplify right side
   2,109.81x = 5,843,912.57
5. Step 5: Solve for x
   x = 5,843,912.57/2,109.81
6. Step 6: Final answer
   x = 2,769.88