Finding the Fourth Proportional to 10,380.57, 14,324.92 and 5,664.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.57 : 14,324.92 = 5,664.86 : x
2. Step 2: Convert to fraction form
   10,380.57/14,324.92 = 5,664.86/x
3. Step 3: Cross multiply
   10,380.57x = 14,324.92 × 5,664.86
4. Step 4: Simplify right side
   10,380.57x = 81,148,666.31
5. Step 5: Solve for x
   x = 81,148,666.31/10,380.57
6. Step 6: Final answer
   x = 7,817.36