Finding the Fourth Proportional to 10,666, 14,695.76 and 7,966

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666 : 14,695.76 = 7,966 : x
2. Step 2: Convert to fraction form
   10,666/14,695.76 = 7,966/x
3. Step 3: Cross multiply
   10,666x = 14,695.76 × 7,966
4. Step 4: Simplify right side
   10,666x = 117,066,424.16
5. Step 5: Solve for x
   x = 117,066,424.16/10,666
6. Step 6: Final answer
   x = 10,975.66