Finding the Fourth Proportional to 10,096.75, 15,145.63 and 3,857.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.75 : 15,145.63 = 3,857.30 : x
2. Step 2: Convert to fraction form
   10,096.75/15,145.63 = 3,857.30/x
3. Step 3: Cross multiply
   10,096.75x = 15,145.63 × 3,857.30
4. Step 4: Simplify right side
   10,096.75x = 58,421,210.02
5. Step 5: Solve for x
   x = 58,421,210.02/10,096.75
6. Step 6: Final answer
   x = 5,786.14