Finding the Fourth Proportional to 10,609.65, 14,640.89 and 5,894.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.65 : 14,640.89 = 5,894.24 : x
2. Step 2: Convert to fraction form
   10,609.65/14,640.89 = 5,894.24/x
3. Step 3: Cross multiply
   10,609.65x = 14,640.89 × 5,894.24
4. Step 4: Simplify right side
   10,609.65x = 86,296,816.80
5. Step 5: Solve for x
   x = 86,296,816.80/10,609.65
6. Step 6: Final answer
   x = 8,133.80