Finding the Fourth Proportional to 2,743.78, 3,786.44 and 1,564.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.78 : 3,786.44 = 1,564.91 : x
2. Step 2: Convert to fraction form
   2,743.78/3,786.44 = 1,564.91/x
3. Step 3: Cross multiply
   2,743.78x = 3,786.44 × 1,564.91
4. Step 4: Simplify right side
   2,743.78x = 5,925,437.82
5. Step 5: Solve for x
   x = 5,925,437.82/2,743.78
6. Step 6: Final answer
   x = 2,159.59