Finding the Fourth Proportional to 11,684.01, 16,123.81 and 7,205.97

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684.01 : 16,123.81 = 7,205.97 : x
2. Step 2: Convert to fraction form
   11,684.01/16,123.81 = 7,205.97/x
3. Step 3: Cross multiply
   11,684.01x = 16,123.81 × 7,205.97
4. Step 4: Simplify right side
   11,684.01x = 116,187,691.15
5. Step 5: Solve for x
   x = 116,187,691.15/11,684.01
6. Step 6: Final answer
   x = 9,944.16