Finding the Fourth Proportional to 9,814.26, 14,617.46 and 9,766.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.26 : 14,617.46 = 9,766.47 : x
2. Step 2: Convert to fraction form
   9,814.26/14,617.46 = 9,766.47/x
3. Step 3: Cross multiply
   9,814.26x = 14,617.46 × 9,766.47
4. Step 4: Simplify right side
   9,814.26x = 142,760,935.73
5. Step 5: Solve for x
   x = 142,760,935.73/9,814.26
6. Step 6: Final answer
   x = 14,546.28