Finding the Fourth Proportional to 9,865.38, 13,614.30 and 5,389.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865.38 : 13,614.30 = 5,389.05 : x
2. Step 2: Convert to fraction form
   9,865.38/13,614.30 = 5,389.05/x
3. Step 3: Cross multiply
   9,865.38x = 13,614.30 × 5,389.05
4. Step 4: Simplify right side
   9,865.38x = 73,368,143.42
5. Step 5: Solve for x
   x = 73,368,143.42/9,865.38
6. Step 6: Final answer
   x = 7,436.93