Finding the Fourth Proportional to 9,508.56, 14,251.87 and 5,116.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,508.56 : 14,251.87 = 5,116.79 : x
2. Step 2: Convert to fraction form
   9,508.56/14,251.87 = 5,116.79/x
3. Step 3: Cross multiply
   9,508.56x = 14,251.87 × 5,116.79
4. Step 4: Simplify right side
   9,508.56x = 72,923,800.31
5. Step 5: Solve for x
   x = 72,923,800.31/9,508.56
6. Step 6: Final answer
   x = 7,669.28