Finding the Fourth Proportional to 10,096.57, 15,149.24 and 3,858.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.57 : 15,149.24 = 3,858.49 : x
2. Step 2: Convert to fraction form
   10,096.57/15,149.24 = 3,858.49/x
3. Step 3: Cross multiply
   10,096.57x = 15,149.24 × 3,858.49
4. Step 4: Simplify right side
   10,096.57x = 58,453,096.01
5. Step 5: Solve for x
   x = 58,453,096.01/10,096.57
6. Step 6: Final answer
   x = 5,789.40