Finding the Fourth Proportional to 11,947.41, 16,432.59 and 9,584.37

Step by Step Solution

1. Step 1: Write the proportion equation
   11,947.41 : 16,432.59 = 9,584.37 : x
2. Step 2: Convert to fraction form
   11,947.41/16,432.59 = 9,584.37/x
3. Step 3: Cross multiply
   11,947.41x = 16,432.59 × 9,584.37
4. Step 4: Simplify right side
   11,947.41x = 157,496,022.62
5. Step 5: Solve for x
   x = 157,496,022.62/11,947.41
6. Step 6: Final answer
   x = 13,182.44