Finding the Fourth Proportional to 2,743.86, 3,786.54 and 1,565.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.86 : 3,786.54 = 1,565.30 : x
2. Step 2: Convert to fraction form
   2,743.86/3,786.54 = 1,565.30/x
3. Step 3: Cross multiply
   2,743.86x = 3,786.54 × 1,565.30
4. Step 4: Simplify right side
   2,743.86x = 5,927,071.06
5. Step 5: Solve for x
   x = 5,927,071.06/2,743.86
6. Step 6: Final answer
   x = 2,160.12