Finding the Fourth Proportional to 2,744.23, 3,786.37 and 1,564.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.23 : 3,786.37 = 1,564.87 : x
2. Step 2: Convert to fraction form
   2,744.23/3,786.37 = 1,564.87/x
3. Step 3: Cross multiply
   2,744.23x = 3,786.37 × 1,564.87
4. Step 4: Simplify right side
   2,744.23x = 5,925,176.82
5. Step 5: Solve for x
   x = 5,925,176.82/2,744.23
6. Step 6: Final answer
   x = 2,159.14