Finding the Fourth Proportional to 3,927.12, 5,901.24 and 3,678

Step by Step Solution

1. Step 1: Write the proportion equation
   3,927.12 : 5,901.24 = 3,678 : x
2. Step 2: Convert to fraction form
   3,927.12/5,901.24 = 3,678/x
3. Step 3: Cross multiply
   3,927.12x = 5,901.24 × 3,678
4. Step 4: Simplify right side
   3,927.12x = 21,704,760.72
5. Step 5: Solve for x
   x = 21,704,760.72/3,927.12
6. Step 6: Final answer
   x = 5,526.89