Finding the Fourth Proportional to 2,743.36, 3,786.05 and 1,564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.36 : 3,786.05 = 1,564.52 : x
2. Step 2: Convert to fraction form
   2,743.36/3,786.05 = 1,564.52/x
3. Step 3: Cross multiply
   2,743.36x = 3,786.05 × 1,564.52
4. Step 4: Simplify right side
   2,743.36x = 5,923,335.93
5. Step 5: Solve for x
   x = 5,923,335.93/2,743.36
6. Step 6: Final answer
   x = 2,159.16