Finding the Fourth Proportional to 9,665.50, 14,503.84 and 5,223.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.50 : 14,503.84 = 5,223.18 : x
2. Step 2: Convert to fraction form
   9,665.50/14,503.84 = 5,223.18/x
3. Step 3: Cross multiply
   9,665.50x = 14,503.84 × 5,223.18
4. Step 4: Simplify right side
   9,665.50x = 75,756,167.01
5. Step 5: Solve for x
   x = 75,756,167.01/9,665.50
6. Step 6: Final answer
   x = 7,837.79