Finding the Fourth Proportional to 10,096.56, 15,146.16 and 3,524.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.56 : 15,146.16 = 3,524.64 : x
2. Step 2: Convert to fraction form
   10,096.56/15,146.16 = 3,524.64/x
3. Step 3: Cross multiply
   10,096.56x = 15,146.16 × 3,524.64
4. Step 4: Simplify right side
   10,096.56x = 53,384,761.38
5. Step 5: Solve for x
   x = 53,384,761.38/10,096.56
6. Step 6: Final answer
   x = 5,287.42