Finding the Fourth Proportional to 2,743.38, 3,786.48 and 1,564.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.38 : 3,786.48 = 1,564.56 : x
2. Step 2: Convert to fraction form
   2,743.38/3,786.48 = 1,564.56/x
3. Step 3: Cross multiply
   2,743.38x = 3,786.48 × 1,564.56
4. Step 4: Simplify right side
   2,743.38x = 5,924,175.15
5. Step 5: Solve for x
   x = 5,924,175.15/2,743.38
6. Step 6: Final answer
   x = 2,159.44