Finding the Fourth Proportional to 2,743.67, 3,786.33 and 1,564.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.67 : 3,786.33 = 1,564.85 : x
2. Step 2: Convert to fraction form
   2,743.67/3,786.33 = 1,564.85/x
3. Step 3: Cross multiply
   2,743.67x = 3,786.33 × 1,564.85
4. Step 4: Simplify right side
   2,743.67x = 5,925,019.57
5. Step 5: Solve for x
   x = 5,925,019.57/2,743.67
6. Step 6: Final answer
   x = 2,159.53