Finding the Fourth Proportional to 3,446.82, 4,754.50 and 3,005.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,446.82 : 4,754.50 = 3,005.78 : x
2. Step 2: Convert to fraction form
   3,446.82/4,754.50 = 3,005.78/x
3. Step 3: Cross multiply
   3,446.82x = 4,754.50 × 3,005.78
4. Step 4: Simplify right side
   3,446.82x = 14,290,949.72
5. Step 5: Solve for x
   x = 14,290,949.72/3,446.82
6. Step 6: Final answer
   x = 4,146.13