Finding the Fourth Proportional to 11,659.50, 16,096.18 and 9,066.68

Step by Step Solution

1. Step 1: Write the proportion equation
   11,659.50 : 16,096.18 = 9,066.68 : x
2. Step 2: Convert to fraction form
   11,659.50/16,096.18 = 9,066.68/x
3. Step 3: Cross multiply
   11,659.50x = 16,096.18 × 9,066.68
4. Step 4: Simplify right side
   11,659.50x = 145,938,913.28
5. Step 5: Solve for x
   x = 145,938,913.28/11,659.50
6. Step 6: Final answer
   x = 12,516.74