Finding the Fourth Proportional to 9,661.75, 14,497.48 and 3,823.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,661.75 : 14,497.48 = 3,823.27 : x
2. Step 2: Convert to fraction form
   9,661.75/14,497.48 = 3,823.27/x
3. Step 3: Cross multiply
   9,661.75x = 14,497.48 × 3,823.27
4. Step 4: Simplify right side
   9,661.75x = 55,427,748.89
5. Step 5: Solve for x
   x = 55,427,748.89/9,661.75
6. Step 6: Final answer
   x = 5,736.82