Finding the Fourth Proportional to 10,379.72, 14,324.06 and 5,664.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.72 : 14,324.06 = 5,664.11 : x
2. Step 2: Convert to fraction form
   10,379.72/14,324.06 = 5,664.11/x
3. Step 3: Cross multiply
   10,379.72x = 14,324.06 × 5,664.11
4. Step 4: Simplify right side
   10,379.72x = 81,132,951.55
5. Step 5: Solve for x
   x = 81,132,951.55/10,379.72
6. Step 6: Final answer
   x = 7,816.49