Finding the Fourth Proportional to 10,769.69, 16,113.95 and 9,677.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.69 : 16,113.95 = 9,677.10 : x
2. Step 2: Convert to fraction form
   10,769.69/16,113.95 = 9,677.10/x
3. Step 3: Cross multiply
   10,769.69x = 16,113.95 × 9,677.10
4. Step 4: Simplify right side
   10,769.69x = 155,936,176.59
5. Step 5: Solve for x
   x = 155,936,176.59/10,769.69
6. Step 6: Final answer
   x = 14,479.18