Finding the Fourth Proportional to 10,829.10, 14,942.01 and 6,112.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,829.10 : 14,942.01 = 6,112.47 : x
2. Step 2: Convert to fraction form
   10,829.10/14,942.01 = 6,112.47/x
3. Step 3: Cross multiply
   10,829.10x = 14,942.01 × 6,112.47
4. Step 4: Simplify right side
   10,829.10x = 91,332,587.86
5. Step 5: Solve for x
   x = 91,332,587.86/10,829.10
6. Step 6: Final answer
   x = 8,434.00