Finding the Fourth Proportional to 10,330.14, 14,255.34 and 5,614.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,330.14 : 14,255.34 = 5,614.32 : x
2. Step 2: Convert to fraction form
   10,330.14/14,255.34 = 5,614.32/x
3. Step 3: Cross multiply
   10,330.14x = 14,255.34 × 5,614.32
4. Step 4: Simplify right side
   10,330.14x = 80,034,040.47
5. Step 5: Solve for x
   x = 80,034,040.47/10,330.14
6. Step 6: Final answer
   x = 7,747.62