Finding the Fourth Proportional to 2,743.43, 3,786 and 1,564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.43 : 3,786 = 1,564.52 : x
2. Step 2: Convert to fraction form
   2,743.43/3,786 = 1,564.52/x
3. Step 3: Cross multiply
   2,743.43x = 3,786 × 1,564.52
4. Step 4: Simplify right side
   2,743.43x = 5,923,272.72
5. Step 5: Solve for x
   x = 5,923,272.72/2,743.43
6. Step 6: Final answer
   x = 2,159.08