Finding the Fourth Proportional to 2,743.64, 3,786.72 and 1,564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.64 : 3,786.72 = 1,564.82 : x
2. Step 2: Convert to fraction form
   2,743.64/3,786.72 = 1,564.82/x
3. Step 3: Cross multiply
   2,743.64x = 3,786.72 × 1,564.82
4. Step 4: Simplify right side
   2,743.64x = 5,925,535.19
5. Step 5: Solve for x
   x = 5,925,535.19/2,743.64
6. Step 6: Final answer
   x = 2,159.73