Finding the Fourth Proportional to 10,380.59, 14,325.16 and 5,664.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.59 : 14,325.16 = 5,664.86 : x
2. Step 2: Convert to fraction form
   10,380.59/14,325.16 = 5,664.86/x
3. Step 3: Cross multiply
   10,380.59x = 14,325.16 × 5,664.86
4. Step 4: Simplify right side
   10,380.59x = 81,150,025.88
5. Step 5: Solve for x
   x = 81,150,025.88/10,380.59
6. Step 6: Final answer
   x = 7,817.48