Finding the Fourth Proportional to 9,823.72, 14,738.46 and 3,586.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,823.72 : 14,738.46 = 3,586.64 : x
2. Step 2: Convert to fraction form
   9,823.72/14,738.46 = 3,586.64/x
3. Step 3: Cross multiply
   9,823.72x = 14,738.46 × 3,586.64
4. Step 4: Simplify right side
   9,823.72x = 52,861,550.17
5. Step 5: Solve for x
   x = 52,861,550.17/9,823.72
6. Step 6: Final answer
   x = 5,381.01