Finding the Fourth Proportional to 10,096.48, 15,142.64 and 3,852.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.48 : 15,142.64 = 3,852.16 : x
2. Step 2: Convert to fraction form
   10,096.48/15,142.64 = 3,852.16/x
3. Step 3: Cross multiply
   10,096.48x = 15,142.64 × 3,852.16
4. Step 4: Simplify right side
   10,096.48x = 58,331,872.10
5. Step 5: Solve for x
   x = 58,331,872.10/10,096.48
6. Step 6: Final answer
   x = 5,777.45