Finding the Fourth Proportional to 10,694.76, 16,028.78 and 5,146.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694.76 : 16,028.78 = 5,146.62 : x
2. Step 2: Convert to fraction form
   10,694.76/16,028.78 = 5,146.62/x
3. Step 3: Cross multiply
   10,694.76x = 16,028.78 × 5,146.62
4. Step 4: Simplify right side
   10,694.76x = 82,493,933.85
5. Step 5: Solve for x
   x = 82,493,933.85/10,694.76
6. Step 6: Final answer
   x = 7,713.49