Finding the Fourth Proportional to 10,930.05, 16,406.46 and 9,688.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,930.05 : 16,406.46 = 9,688.53 : x
2. Step 2: Convert to fraction form
   10,930.05/16,406.46 = 9,688.53/x
3. Step 3: Cross multiply
   10,930.05x = 16,406.46 × 9,688.53
4. Step 4: Simplify right side
   10,930.05x = 158,954,397.87
5. Step 5: Solve for x
   x = 158,954,397.87/10,930.05
6. Step 6: Final answer
   x = 14,542.89