Finding the Fourth Proportional to 9,675.35, 14,504.39 and 3,827.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,675.35 : 14,504.39 = 3,827.96 : x
2. Step 2: Convert to fraction form
   9,675.35/14,504.39 = 3,827.96/x
3. Step 3: Cross multiply
   9,675.35x = 14,504.39 × 3,827.96
4. Step 4: Simplify right side
   9,675.35x = 55,522,205.60
5. Step 5: Solve for x
   x = 55,522,205.60/9,675.35
6. Step 6: Final answer
   x = 5,738.52