Finding the Fourth Proportional to 9,665.63, 14,504.02 and 5,223.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.63 : 14,504.02 = 5,223.31 : x
2. Step 2: Convert to fraction form
   9,665.63/14,504.02 = 5,223.31/x
3. Step 3: Cross multiply
   9,665.63x = 14,504.02 × 5,223.31
4. Step 4: Simplify right side
   9,665.63x = 75,758,920.19
5. Step 5: Solve for x
   x = 75,758,920.19/9,665.63
6. Step 6: Final answer
   x = 7,837.97