Finding the Fourth Proportional to 4,096.96, 5,643.92 and 3,846.40

Step by Step Solution

1. Step 1: Write the proportion equation
   4,096.96 : 5,643.92 = 3,846.40 : x
2. Step 2: Convert to fraction form
   4,096.96/5,643.92 = 3,846.40/x
3. Step 3: Cross multiply
   4,096.96x = 5,643.92 × 3,846.40
4. Step 4: Simplify right side
   4,096.96x = 21,708,773.89
5. Step 5: Solve for x
   x = 21,708,773.89/4,096.96
6. Step 6: Final answer
   x = 5,298.75