Finding the Fourth Proportional to 6,383.34, 9,550.71 and 3,840.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,383.34 : 9,550.71 = 3,840.89 : x
2. Step 2: Convert to fraction form
   6,383.34/9,550.71 = 3,840.89/x
3. Step 3: Cross multiply
   6,383.34x = 9,550.71 × 3,840.89
4. Step 4: Simplify right side
   6,383.34x = 36,683,178.78
5. Step 5: Solve for x
   x = 36,683,178.78/6,383.34
6. Step 6: Final answer
   x = 5,746.71