Finding the Fourth Proportional to 2,743.61, 3,786.55 and 1,565.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.61 : 3,786.55 = 1,565.06 : x
2. Step 2: Convert to fraction form
   2,743.61/3,786.55 = 1,565.06/x
3. Step 3: Cross multiply
   2,743.61x = 3,786.55 × 1,565.06
4. Step 4: Simplify right side
   2,743.61x = 5,926,155.10
5. Step 5: Solve for x
   x = 5,926,155.10/2,743.61
6. Step 6: Final answer
   x = 2,159.99