Finding the Fourth Proportional to 11,685.88, 16,109.78 and 7,206.64

Step by Step Solution

1. Step 1: Write the proportion equation
   11,685.88 : 16,109.78 = 7,206.64 : x
2. Step 2: Convert to fraction form
   11,685.88/16,109.78 = 7,206.64/x
3. Step 3: Cross multiply
   11,685.88x = 16,109.78 × 7,206.64
4. Step 4: Simplify right side
   11,685.88x = 116,097,384.94
5. Step 5: Solve for x
   x = 116,097,384.94/11,685.88
6. Step 6: Final answer
   x = 9,934.84