Finding the Fourth Proportional to 2,743.68, 3,786.24 and 1,564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.68 : 3,786.24 = 1,564.72 : x
2. Step 2: Convert to fraction form
   2,743.68/3,786.24 = 1,564.72/x
3. Step 3: Cross multiply
   2,743.68x = 3,786.24 × 1,564.72
4. Step 4: Simplify right side
   2,743.68x = 5,924,405.45
5. Step 5: Solve for x
   x = 5,924,405.45/2,743.68
6. Step 6: Final answer
   x = 2,159.29