Finding the Fourth Proportional to 9,696.27, 14,546.85 and 3,853.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.27 : 14,546.85 = 3,853.35 : x
2. Step 2: Convert to fraction form
   9,696.27/14,546.85 = 3,853.35/x
3. Step 3: Cross multiply
   9,696.27x = 14,546.85 × 3,853.35
4. Step 4: Simplify right side
   9,696.27x = 56,054,104.45
5. Step 5: Solve for x
   x = 56,054,104.45/9,696.27
6. Step 6: Final answer
   x = 5,781.00