Finding the Fourth Proportional to 11,978.76, 16,521.89 and 7,727.66

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978.76 : 16,521.89 = 7,727.66 : x
2. Step 2: Convert to fraction form
   11,978.76/16,521.89 = 7,727.66/x
3. Step 3: Cross multiply
   11,978.76x = 16,521.89 × 7,727.66
4. Step 4: Simplify right side
   11,978.76x = 127,675,579.12
5. Step 5: Solve for x
   x = 127,675,579.12/11,978.76
6. Step 6: Final answer
   x = 10,658.50