Finding the Fourth Proportional to 10,609.50, 14,641.12 and 5,894.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.50 : 14,641.12 = 5,894.22 : x
2. Step 2: Convert to fraction form
   10,609.50/14,641.12 = 5,894.22/x
3. Step 3: Cross multiply
   10,609.50x = 14,641.12 × 5,894.22
4. Step 4: Simplify right side
   10,609.50x = 86,297,982.33
5. Step 5: Solve for x
   x = 86,297,982.33/10,609.50
6. Step 6: Final answer
   x = 8,134.03