Finding the Fourth Proportional to 10,380.96, 14,325.53 and 5,665.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.96 : 14,325.53 = 5,665.28 : x
2. Step 2: Convert to fraction form
   10,380.96/14,325.53 = 5,665.28/x
3. Step 3: Cross multiply
   10,380.96x = 14,325.53 × 5,665.28
4. Step 4: Simplify right side
   10,380.96x = 81,158,038.64
5. Step 5: Solve for x
   x = 81,158,038.64/10,380.96
6. Step 6: Final answer
   x = 7,817.97