Finding the Fourth Proportional to 3,648, 5,470.70 and 1,456.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648 : 5,470.70 = 1,456.14 : x
2. Step 2: Convert to fraction form
   3,648/5,470.70 = 1,456.14/x
3. Step 3: Cross multiply
   3,648x = 5,470.70 × 1,456.14
4. Step 4: Simplify right side
   3,648x = 7,966,105.10
5. Step 5: Solve for x
   x = 7,966,105.10/3,648
6. Step 6: Final answer
   x = 2,183.69