Finding the Fourth Proportional to 10,380.38, 14,324.88 and 5,664.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.38 : 14,324.88 = 5,664.65 : x
2. Step 2: Convert to fraction form
   10,380.38/14,324.88 = 5,664.65/x
3. Step 3: Cross multiply
   10,380.38x = 14,324.88 × 5,664.65
4. Step 4: Simplify right side
   10,380.38x = 81,145,359.87
5. Step 5: Solve for x
   x = 81,145,359.87/10,380.38
6. Step 6: Final answer
   x = 7,817.19