Finding the Fourth Proportional to 10,609.50, 14,640.71 and 5,894.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.50 : 14,640.71 = 5,894.09 : x
2. Step 2: Convert to fraction form
   10,609.50/14,640.71 = 5,894.09/x
3. Step 3: Cross multiply
   10,609.50x = 14,640.71 × 5,894.09
4. Step 4: Simplify right side
   10,609.50x = 86,293,662.40
5. Step 5: Solve for x
   x = 86,293,662.40/10,609.50
6. Step 6: Final answer
   x = 8,133.62