Finding the Fourth Proportional to 10,609.82, 14,641.13 and 5,894.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.82 : 14,641.13 = 5,894.40 : x
2. Step 2: Convert to fraction form
   10,609.82/14,641.13 = 5,894.40/x
3. Step 3: Cross multiply
   10,609.82x = 14,641.13 × 5,894.40
4. Step 4: Simplify right side
   10,609.82x = 86,300,691.41
5. Step 5: Solve for x
   x = 86,300,691.41/10,609.82
6. Step 6: Final answer
   x = 8,134.04