Finding the Fourth Proportional to 17,667, 24,380.46 and 10,219.32

Step by Step Solution

1. Step 1: Write the proportion equation
   17,667 : 24,380.46 = 10,219.32 : x
2. Step 2: Convert to fraction form
   17,667/24,380.46 = 10,219.32/x
3. Step 3: Cross multiply
   17,667x = 24,380.46 × 10,219.32
4. Step 4: Simplify right side
   17,667x = 249,151,722.49
5. Step 5: Solve for x
   x = 249,151,722.49/17,667
6. Step 6: Final answer
   x = 14,102.66