Finding the Fourth Proportional to 11,658.84, 16,091.69 and 7,680.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,658.84 : 16,091.69 = 7,680.30 : x
2. Step 2: Convert to fraction form
   11,658.84/16,091.69 = 7,680.30/x
3. Step 3: Cross multiply
   11,658.84x = 16,091.69 × 7,680.30
4. Step 4: Simplify right side
   11,658.84x = 123,588,968.31
5. Step 5: Solve for x
   x = 123,588,968.31/11,658.84
6. Step 6: Final answer
   x = 10,600.45