Finding the Fourth Proportional to 3,840.32, 5,738.61 and 2,884.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840.32 : 5,738.61 = 2,884.25 : x
2. Step 2: Convert to fraction form
   3,840.32/5,738.61 = 2,884.25/x
3. Step 3: Cross multiply
   3,840.32x = 5,738.61 × 2,884.25
4. Step 4: Simplify right side
   3,840.32x = 16,551,585.89
5. Step 5: Solve for x
   x = 16,551,585.89/3,840.32
6. Step 6: Final answer
   x = 4,309.95