Finding the Fourth Proportional to 2,743.88, 3,786.33 and 1,564.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.88 : 3,786.33 = 1,564.73 : x
2. Step 2: Convert to fraction form
   2,743.88/3,786.33 = 1,564.73/x
3. Step 3: Cross multiply
   2,743.88x = 3,786.33 × 1,564.73
4. Step 4: Simplify right side
   2,743.88x = 5,924,584.14
5. Step 5: Solve for x
   x = 5,924,584.14/2,743.88
6. Step 6: Final answer
   x = 2,159.20