Finding the Fourth Proportional to 10,589.50, 14,614.71 and 6,114.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.50 : 14,614.71 = 6,114.45 : x
2. Step 2: Convert to fraction form
   10,589.50/14,614.71 = 6,114.45/x
3. Step 3: Cross multiply
   10,589.50x = 14,614.71 × 6,114.45
4. Step 4: Simplify right side
   10,589.50x = 89,360,913.56
5. Step 5: Solve for x
   x = 89,360,913.56/10,589.50
6. Step 6: Final answer
   x = 8,438.63