Finding the Fourth Proportional to 7,166.28, 10,739.86 and 3,827.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,166.28 : 10,739.86 = 3,827.69 : x
2. Step 2: Convert to fraction form
   7,166.28/10,739.86 = 3,827.69/x
3. Step 3: Cross multiply
   7,166.28x = 10,739.86 × 3,827.69
4. Step 4: Simplify right side
   7,166.28x = 41,108,831.73
5. Step 5: Solve for x
   x = 41,108,831.73/7,166.28
6. Step 6: Final answer
   x = 5,736.42