Finding the Fourth Proportional to 10,379.89, 14,324.20 and 5,664.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.89 : 14,324.20 = 5,664.61 : x
2. Step 2: Convert to fraction form
   10,379.89/14,324.20 = 5,664.61/x
3. Step 3: Cross multiply
   10,379.89x = 14,324.20 × 5,664.61
4. Step 4: Simplify right side
   10,379.89x = 81,141,006.56
5. Step 5: Solve for x
   x = 81,141,006.56/10,379.89
6. Step 6: Final answer
   x = 7,817.14