Finding the Fourth Proportional to 2,743.47, 3,785.92 and 1,564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.47 : 3,785.92 = 1,564.52 : x
2. Step 2: Convert to fraction form
   2,743.47/3,785.92 = 1,564.52/x
3. Step 3: Cross multiply
   2,743.47x = 3,785.92 × 1,564.52
4. Step 4: Simplify right side
   2,743.47x = 5,923,124.72
5. Step 5: Solve for x
   x = 5,923,124.72/2,743.47
6. Step 6: Final answer
   x = 2,158.99