Finding the Fourth Proportional to 9,638.92, 14,456.94 and 3,799.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.92 : 14,456.94 = 3,799.48 : x
2. Step 2: Convert to fraction form
   9,638.92/14,456.94 = 3,799.48/x
3. Step 3: Cross multiply
   9,638.92x = 14,456.94 × 3,799.48
4. Step 4: Simplify right side
   9,638.92x = 54,928,854.39
5. Step 5: Solve for x
   x = 54,928,854.39/9,638.92
6. Step 6: Final answer
   x = 5,698.65