Finding the Fourth Proportional to 10,949.12, 16,411.91 and 5,678.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,949.12 : 16,411.91 = 5,678.85 : x
2. Step 2: Convert to fraction form
   10,949.12/16,411.91 = 5,678.85/x
3. Step 3: Cross multiply
   10,949.12x = 16,411.91 × 5,678.85
4. Step 4: Simplify right side
   10,949.12x = 93,200,775.10
5. Step 5: Solve for x
   x = 93,200,775.10/10,949.12
6. Step 6: Final answer
   x = 8,512.17