Finding the Fourth Proportional to 10,096.56, 15,145.35 and 3,857.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.56 : 15,145.35 = 3,857.11 : x
2. Step 2: Convert to fraction form
   10,096.56/15,145.35 = 3,857.11/x
3. Step 3: Cross multiply
   10,096.56x = 15,145.35 × 3,857.11
4. Step 4: Simplify right side
   10,096.56x = 58,417,280.94
5. Step 5: Solve for x
   x = 58,417,280.94/10,096.56
6. Step 6: Final answer
   x = 5,785.86