Finding the Fourth Proportional to 2,743.82, 3,786.69 and 1,564.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.82 : 3,786.69 = 1,564.62 : x
2. Step 2: Convert to fraction form
   2,743.82/3,786.69 = 1,564.62/x
3. Step 3: Cross multiply
   2,743.82x = 3,786.69 × 1,564.62
4. Step 4: Simplify right side
   2,743.82x = 5,924,730.91
5. Step 5: Solve for x
   x = 5,924,730.91/2,743.82
6. Step 6: Final answer
   x = 2,159.30