Finding the Fourth Proportional to 10,689.18, 16,019.64 and 7,737.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689.18 : 16,019.64 = 7,737.49 : x
2. Step 2: Convert to fraction form
   10,689.18/16,019.64 = 7,737.49/x
3. Step 3: Cross multiply
   10,689.18x = 16,019.64 × 7,737.49
4. Step 4: Simplify right side
   10,689.18x = 123,951,824.33
5. Step 5: Solve for x
   x = 123,951,824.33/10,689.18
6. Step 6: Final answer
   x = 11,596.01