Finding the Fourth Proportional to 11,685.86, 16,118.49 and 6,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,685.86 : 16,118.49 = 6,966.50 : x
2. Step 2: Convert to fraction form
   11,685.86/16,118.49 = 6,966.50/x
3. Step 3: Cross multiply
   11,685.86x = 16,118.49 × 6,966.50
4. Step 4: Simplify right side
   11,685.86x = 112,289,460.59
5. Step 5: Solve for x
   x = 112,289,460.59/11,685.86
6. Step 6: Final answer
   x = 9,609.00