Finding the Fourth Proportional to 9,667.88, 14,501.90 and 3,824.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.88 : 14,501.90 = 3,824.48 : x
2. Step 2: Convert to fraction form
   9,667.88/14,501.90 = 3,824.48/x
3. Step 3: Cross multiply
   9,667.88x = 14,501.90 × 3,824.48
4. Step 4: Simplify right side
   9,667.88x = 55,462,134.88
5. Step 5: Solve for x
   x = 55,462,134.88/9,667.88
6. Step 6: Final answer
   x = 5,736.75