Finding the Fourth Proportional to 17,649.18, 24,357.81 and 10,096.20

Step by Step Solution

1. Step 1: Write the proportion equation
   17,649.18 : 24,357.81 = 10,096.20 : x
2. Step 2: Convert to fraction form
   17,649.18/24,357.81 = 10,096.20/x
3. Step 3: Cross multiply
   17,649.18x = 24,357.81 × 10,096.20
4. Step 4: Simplify right side
   17,649.18x = 245,921,321.32
5. Step 5: Solve for x
   x = 245,921,321.32/17,649.18
6. Step 6: Final answer
   x = 13,933.87