Finding the Fourth Proportional to 5,846.72, 8,063.20 and 3,856.64

Step by Step Solution

1. Step 1: Write the proportion equation
   5,846.72 : 8,063.20 = 3,856.64 : x
2. Step 2: Convert to fraction form
   5,846.72/8,063.20 = 3,856.64/x
3. Step 3: Cross multiply
   5,846.72x = 8,063.20 × 3,856.64
4. Step 4: Simplify right side
   5,846.72x = 31,096,859.65
5. Step 5: Solve for x
   x = 31,096,859.65/5,846.72
6. Step 6: Final answer
   x = 5,318.68