Finding the Fourth Proportional to 3,166.05, 4,747.69 and 1,216.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,166.05 : 4,747.69 = 1,216.88 : x
2. Step 2: Convert to fraction form
   3,166.05/4,747.69 = 1,216.88/x
3. Step 3: Cross multiply
   3,166.05x = 4,747.69 × 1,216.88
4. Step 4: Simplify right side
   3,166.05x = 5,777,339.18
5. Step 5: Solve for x
   x = 5,777,339.18/3,166.05
6. Step 6: Final answer
   x = 1,824.78