Finding the Fourth Proportional to 3,831.17, 5,743.69 and 3,523.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,831.17 : 5,743.69 = 3,523.64 : x
2. Step 2: Convert to fraction form
   3,831.17/5,743.69 = 3,523.64/x
3. Step 3: Cross multiply
   3,831.17x = 5,743.69 × 3,523.64
4. Step 4: Simplify right side
   3,831.17x = 20,238,678.12
5. Step 5: Solve for x
   x = 20,238,678.12/3,831.17
6. Step 6: Final answer
   x = 5,282.64