Finding the Fourth Proportional to 6,727.86, 9,284.76 and 3,743.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,727.86 : 9,284.76 = 3,743.82 : x
2. Step 2: Convert to fraction form
   6,727.86/9,284.76 = 3,743.82/x
3. Step 3: Cross multiply
   6,727.86x = 9,284.76 × 3,743.82
4. Step 4: Simplify right side
   6,727.86x = 34,760,470.18
5. Step 5: Solve for x
   x = 34,760,470.18/6,727.86
6. Step 6: Final answer
   x = 5,166.65