Finding the Fourth Proportional to 3,924.22, 5,409.20 and 3,846.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,924.22 : 5,409.20 = 3,846.46 : x
2. Step 2: Convert to fraction form
   3,924.22/5,409.20 = 3,846.46/x
3. Step 3: Cross multiply
   3,924.22x = 5,409.20 × 3,846.46
4. Step 4: Simplify right side
   3,924.22x = 20,806,271.43
5. Step 5: Solve for x
   x = 20,806,271.43/3,924.22
6. Step 6: Final answer
   x = 5,302.01