Finding the Fourth Proportional to 9,696.62, 14,548.71 and 7,839.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.62 : 14,548.71 = 7,839.83 : x
2. Step 2: Convert to fraction form
   9,696.62/14,548.71 = 7,839.83/x
3. Step 3: Cross multiply
   9,696.62x = 14,548.71 × 7,839.83
4. Step 4: Simplify right side
   9,696.62x = 114,059,478.89
5. Step 5: Solve for x
   x = 114,059,478.89/9,696.62
6. Step 6: Final answer
   x = 11,762.80