Finding the Fourth Proportional to 9,685.89, 14,516.65 and 5,243.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.89 : 14,516.65 = 5,243.38 : x
2. Step 2: Convert to fraction form
   9,685.89/14,516.65 = 5,243.38/x
3. Step 3: Cross multiply
   9,685.89x = 14,516.65 × 5,243.38
4. Step 4: Simplify right side
   9,685.89x = 76,116,282.54
5. Step 5: Solve for x
   x = 76,116,282.54/9,685.89
6. Step 6: Final answer
   x = 7,858.47