Finding the Fourth Proportional to 10,623.48, 15,933.12 and 10,096.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,623.48 : 15,933.12 = 10,096.64 : x
2. Step 2: Convert to fraction form
   10,623.48/15,933.12 = 10,096.64/x
3. Step 3: Cross multiply
   10,623.48x = 15,933.12 × 10,096.64
4. Step 4: Simplify right side
   10,623.48x = 160,870,976.72
5. Step 5: Solve for x
   x = 160,870,976.72/10,623.48
6. Step 6: Final answer
   x = 15,142.96