Finding the Fourth Proportional to 10,648.94, 14,694.34 and 6,171.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.94 : 14,694.34 = 6,171.77 : x
2. Step 2: Convert to fraction form
   10,648.94/14,694.34 = 6,171.77/x
3. Step 3: Cross multiply
   10,648.94x = 14,694.34 × 6,171.77
4. Step 4: Simplify right side
   10,648.94x = 90,690,086.78
5. Step 5: Solve for x
   x = 90,690,086.78/10,648.94
6. Step 6: Final answer
   x = 8,516.35