Finding the Fourth Proportional to 10,380.15, 14,324.53 and 5,664.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.15 : 14,324.53 = 5,664.43 : x
2. Step 2: Convert to fraction form
   10,380.15/14,324.53 = 5,664.43/x
3. Step 3: Cross multiply
   10,380.15x = 14,324.53 × 5,664.43
4. Step 4: Simplify right side
   10,380.15x = 81,140,197.52
5. Step 5: Solve for x
   x = 81,140,197.52/10,380.15
6. Step 6: Final answer
   x = 7,816.87