Finding the Fourth Proportional to 6,302.82, 9,441.50 and 3,178.49

Step by Step Solution

1. Step 1: Write the proportion equation
   6,302.82 : 9,441.50 = 3,178.49 : x
2. Step 2: Convert to fraction form
   6,302.82/9,441.50 = 3,178.49/x
3. Step 3: Cross multiply
   6,302.82x = 9,441.50 × 3,178.49
4. Step 4: Simplify right side
   6,302.82x = 30,009,650.24
5. Step 5: Solve for x
   x = 30,009,650.24/6,302.82
6. Step 6: Final answer
   x = 4,761.30