Finding the Fourth Proportional to 10,380.14, 14,324.55 and 5,664.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.14 : 14,324.55 = 5,664.41 : x
2. Step 2: Convert to fraction form
   10,380.14/14,324.55 = 5,664.41/x
3. Step 3: Cross multiply
   10,380.14x = 14,324.55 × 5,664.41
4. Step 4: Simplify right side
   10,380.14x = 81,140,124.27
5. Step 5: Solve for x
   x = 81,140,124.27/10,380.14
6. Step 6: Final answer
   x = 7,816.86