Finding the Fourth Proportional to 9,185.91, 13,784.04 and 3,920.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.91 : 13,784.04 = 3,920.42 : x
2. Step 2: Convert to fraction form
   9,185.91/13,784.04 = 3,920.42/x
3. Step 3: Cross multiply
   9,185.91x = 13,784.04 × 3,920.42
4. Step 4: Simplify right side
   9,185.91x = 54,039,183.02
5. Step 5: Solve for x
   x = 54,039,183.02/9,185.91
6. Step 6: Final answer
   x = 5,882.84