Finding the Fourth Proportional to 10,330.14, 14,255.69 and 5,614.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,330.14 : 14,255.69 = 5,614.42 : x
2. Step 2: Convert to fraction form
   10,330.14/14,255.69 = 5,614.42/x
3. Step 3: Cross multiply
   10,330.14x = 14,255.69 × 5,614.42
4. Step 4: Simplify right side
   10,330.14x = 80,037,431.05
5. Step 5: Solve for x
   x = 80,037,431.05/10,330.14
6. Step 6: Final answer
   x = 7,747.95