Finding the Fourth Proportional to 2,743.88, 3,786.55 and 1,564.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.88 : 3,786.55 = 1,564.95 : x
2. Step 2: Convert to fraction form
   2,743.88/3,786.55 = 1,564.95/x
3. Step 3: Cross multiply
   2,743.88x = 3,786.55 × 1,564.95
4. Step 4: Simplify right side
   2,743.88x = 5,925,743.31
5. Step 5: Solve for x
   x = 5,925,743.31/2,743.88
6. Step 6: Final answer
   x = 2,159.63