Finding the Fourth Proportional to 10,380.92, 14,325.53 and 5,664.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.92 : 14,325.53 = 5,664.90 : x
2. Step 2: Convert to fraction form
   10,380.92/14,325.53 = 5,664.90/x
3. Step 3: Cross multiply
   10,380.92x = 14,325.53 × 5,664.90
4. Step 4: Simplify right side
   10,380.92x = 81,152,694.90
5. Step 5: Solve for x
   x = 81,152,694.90/10,380.92
6. Step 6: Final answer
   x = 7,817.49