Finding the Fourth Proportional to 11,666.42, 16,088.82 and 7,680.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,666.42 : 16,088.82 = 7,680.60 : x
2. Step 2: Convert to fraction form
   11,666.42/16,088.82 = 7,680.60/x
3. Step 3: Cross multiply
   11,666.42x = 16,088.82 × 7,680.60
4. Step 4: Simplify right side
   11,666.42x = 123,571,790.89
5. Step 5: Solve for x
   x = 123,571,790.89/11,666.42
6. Step 6: Final answer
   x = 10,592.10