Finding the Fourth Proportional to 2,743.72, 3,786.50 and 1,564.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.72 : 3,786.50 = 1,564.92 : x
2. Step 2: Convert to fraction form
   2,743.72/3,786.50 = 1,564.92/x
3. Step 3: Cross multiply
   2,743.72x = 3,786.50 × 1,564.92
4. Step 4: Simplify right side
   2,743.72x = 5,925,569.58
5. Step 5: Solve for x
   x = 5,925,569.58/2,743.72
6. Step 6: Final answer
   x = 2,159.68