Finding the Fourth Proportional to 9,672.14, 14,476.83 and 5,223.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,672.14 : 14,476.83 = 5,223.62 : x
2. Step 2: Convert to fraction form
   9,672.14/14,476.83 = 5,223.62/x
3. Step 3: Cross multiply
   9,672.14x = 14,476.83 × 5,223.62
4. Step 4: Simplify right side
   9,672.14x = 75,621,458.72
5. Step 5: Solve for x
   x = 75,621,458.72/9,672.14
6. Step 6: Final answer
   x = 7,818.48