Finding the Fourth Proportional to 11,706.16, 16,142.92 and 7,674.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,706.16 : 16,142.92 = 7,674.24 : x
2. Step 2: Convert to fraction form
   11,706.16/16,142.92 = 7,674.24/x
3. Step 3: Cross multiply
   11,706.16x = 16,142.92 × 7,674.24
4. Step 4: Simplify right side
   11,706.16x = 123,884,642.38
5. Step 5: Solve for x
   x = 123,884,642.38/11,706.16
6. Step 6: Final answer
   x = 10,582.86