Finding the Fourth Proportional to 11,824.72, 16,314.96 and 9,584.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,824.72 : 16,314.96 = 9,584.80 : x
2. Step 2: Convert to fraction form
   11,824.72/16,314.96 = 9,584.80/x
3. Step 3: Cross multiply
   11,824.72x = 16,314.96 × 9,584.80
4. Step 4: Simplify right side
   11,824.72x = 156,375,628.61
5. Step 5: Solve for x
   x = 156,375,628.61/11,824.72
6. Step 6: Final answer
   x = 13,224.47