Finding the Fourth Proportional to 10,678.88, 16,007.34 and 5,123.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.88 : 16,007.34 = 5,123.88 : x
2. Step 2: Convert to fraction form
   10,678.88/16,007.34 = 5,123.88/x
3. Step 3: Cross multiply
   10,678.88x = 16,007.34 × 5,123.88
4. Step 4: Simplify right side
   10,678.88x = 82,019,689.28
5. Step 5: Solve for x
   x = 82,019,689.28/10,678.88
6. Step 6: Final answer
   x = 7,680.55