Finding the Fourth Proportional to 10,096.81, 15,145.73 and 3,857.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.81 : 15,145.73 = 3,857.37 : x
2. Step 2: Convert to fraction form
   10,096.81/15,145.73 = 3,857.37/x
3. Step 3: Cross multiply
   10,096.81x = 15,145.73 × 3,857.37
4. Step 4: Simplify right side
   10,096.81x = 58,422,589.51
5. Step 5: Solve for x
   x = 58,422,589.51/10,096.81
6. Step 6: Final answer
   x = 5,786.24