Finding the Fourth Proportional to 9,498.78, 14,251.41 and 5,116.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,498.78 : 14,251.41 = 5,116.68 : x
2. Step 2: Convert to fraction form
   9,498.78/14,251.41 = 5,116.68/x
3. Step 3: Cross multiply
   9,498.78x = 14,251.41 × 5,116.68
4. Step 4: Simplify right side
   9,498.78x = 72,919,904.52
5. Step 5: Solve for x
   x = 72,919,904.52/9,498.78
6. Step 6: Final answer
   x = 7,676.77