Finding the Fourth Proportional to 10,519.40, 14,616.39 and 10,409.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,519.40 : 14,616.39 = 10,409.72 : x
2. Step 2: Convert to fraction form
   10,519.40/14,616.39 = 10,409.72/x
3. Step 3: Cross multiply
   10,519.40x = 14,616.39 × 10,409.72
4. Step 4: Simplify right side
   10,519.40x = 152,152,527.31
5. Step 5: Solve for x
   x = 152,152,527.31/10,519.40
6. Step 6: Final answer
   x = 14,463.99