Finding the Fourth Proportional to 17,968.47, 24,796.49 and 10,419.20

Step by Step Solution

1. Step 1: Write the proportion equation
   17,968.47 : 24,796.49 = 10,419.20 : x
2. Step 2: Convert to fraction form
   17,968.47/24,796.49 = 10,419.20/x
3. Step 3: Cross multiply
   17,968.47x = 24,796.49 × 10,419.20
4. Step 4: Simplify right side
   17,968.47x = 258,359,412.53
5. Step 5: Solve for x
   x = 258,359,412.53/17,968.47
6. Step 6: Final answer
   x = 14,378.49