Finding the Fourth Proportional to 2,744.25, 3,786.39 and 1,564.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.25 : 3,786.39 = 1,564.89 : x
2. Step 2: Convert to fraction form
   2,744.25/3,786.39 = 1,564.89/x
3. Step 3: Cross multiply
   2,744.25x = 3,786.39 × 1,564.89
4. Step 4: Simplify right side
   2,744.25x = 5,925,283.85
5. Step 5: Solve for x
   x = 5,925,283.85/2,744.25
6. Step 6: Final answer
   x = 2,159.16