Finding the Fourth Proportional to 9,676.85, 14,506.63 and 3,829.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,676.85 : 14,506.63 = 3,829.46 : x
2. Step 2: Convert to fraction form
   9,676.85/14,506.63 = 3,829.46/x
3. Step 3: Cross multiply
   9,676.85x = 14,506.63 × 3,829.46
4. Step 4: Simplify right side
   9,676.85x = 55,552,559.32
5. Step 5: Solve for x
   x = 55,552,559.32/9,676.85
6. Step 6: Final answer
   x = 5,740.77