Finding the Fourth Proportional to 9,405.02, 14,107.56 and 3,857.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,405.02 : 14,107.56 = 3,857.42 : x
2. Step 2: Convert to fraction form
   9,405.02/14,107.56 = 3,857.42/x
3. Step 3: Cross multiply
   9,405.02x = 14,107.56 × 3,857.42
4. Step 4: Simplify right side
   9,405.02x = 54,418,784.10
5. Step 5: Solve for x
   x = 54,418,784.10/9,405.02
6. Step 6: Final answer
   x = 5,786.14