Finding the Fourth Proportional to 3,096.52, 4,647.12 and 2,166

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096.52 : 4,647.12 = 2,166 : x
2. Step 2: Convert to fraction form
   3,096.52/4,647.12 = 2,166/x
3. Step 3: Cross multiply
   3,096.52x = 4,647.12 × 2,166
4. Step 4: Simplify right side
   3,096.52x = 10,065,661.92
5. Step 5: Solve for x
   x = 10,065,661.92/3,096.52
6. Step 6: Final answer
   x = 3,250.64