Finding the Fourth Proportional to 3,904.96, 5,812.84 and 3,846.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,904.96 : 5,812.84 = 3,846.64 : x
2. Step 2: Convert to fraction form
   3,904.96/5,812.84 = 3,846.64/x
3. Step 3: Cross multiply
   3,904.96x = 5,812.84 × 3,846.64
4. Step 4: Simplify right side
   3,904.96x = 22,359,902.86
5. Step 5: Solve for x
   x = 22,359,902.86/3,904.96
6. Step 6: Final answer
   x = 5,726.03