Finding the Fourth Proportional to 2,743.28, 3,786.20 and 1,564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.28 : 3,786.20 = 1,564.72 : x
2. Step 2: Convert to fraction form
   2,743.28/3,786.20 = 1,564.72/x
3. Step 3: Cross multiply
   2,743.28x = 3,786.20 × 1,564.72
4. Step 4: Simplify right side
   2,743.28x = 5,924,342.86
5. Step 5: Solve for x
   x = 5,924,342.86/2,743.28
6. Step 6: Final answer
   x = 2,159.58