Finding the Fourth Proportional to 10,581.62, 14,601.90 and 5,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581.62 : 14,601.90 = 5,865.50 : x
2. Step 2: Convert to fraction form
   10,581.62/14,601.90 = 5,865.50/x
3. Step 3: Cross multiply
   10,581.62x = 14,601.90 × 5,865.50
4. Step 4: Simplify right side
   10,581.62x = 85,647,444.45
5. Step 5: Solve for x
   x = 85,647,444.45/10,581.62
6. Step 6: Final answer
   x = 8,093.98