Finding the Fourth Proportional to 9,665.38, 14,503.65 and 5,223.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.38 : 14,503.65 = 5,223.06 : x
2. Step 2: Convert to fraction form
   9,665.38/14,503.65 = 5,223.06/x
3. Step 3: Cross multiply
   9,665.38x = 14,503.65 × 5,223.06
4. Step 4: Simplify right side
   9,665.38x = 75,753,434.17
5. Step 5: Solve for x
   x = 75,753,434.17/9,665.38
6. Step 6: Final answer
   x = 7,837.61