Finding the Fourth Proportional to 11,884.67, 16,395.69 and 7,166.33

Step by Step Solution

1. Step 1: Write the proportion equation
   11,884.67 : 16,395.69 = 7,166.33 : x
2. Step 2: Convert to fraction form
   11,884.67/16,395.69 = 7,166.33/x
3. Step 3: Cross multiply
   11,884.67x = 16,395.69 × 7,166.33
4. Step 4: Simplify right side
   11,884.67x = 117,496,825.22
5. Step 5: Solve for x
   x = 117,496,825.22/11,884.67
6. Step 6: Final answer
   x = 9,886.42