Finding the Fourth Proportional to 9,766.69, 14,656.15 and 6,076.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.69 : 14,656.15 = 6,076.12 : x
2. Step 2: Convert to fraction form
   9,766.69/14,656.15 = 6,076.12/x
3. Step 3: Cross multiply
   9,766.69x = 14,656.15 × 6,076.12
4. Step 4: Simplify right side
   9,766.69x = 89,052,526.14
5. Step 5: Solve for x
   x = 89,052,526.14/9,766.69
6. Step 6: Final answer
   x = 9,117.98