Finding the Fourth Proportional to 2,743.38, 3,786.09 and 1,564.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.38 : 3,786.09 = 1,564.43 : x
2. Step 2: Convert to fraction form
   2,743.38/3,786.09 = 1,564.43/x
3. Step 3: Cross multiply
   2,743.38x = 3,786.09 × 1,564.43
4. Step 4: Simplify right side
   2,743.38x = 5,923,053.85
5. Step 5: Solve for x
   x = 5,923,053.85/2,743.38
6. Step 6: Final answer
   x = 2,159.04