Finding the Fourth Proportional to 1,653.48, 2,478.60 and 680.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.48 : 2,478.60 = 680.27 : x
2. Step 2: Convert to fraction form
   1,653.48/2,478.60 = 680.27/x
3. Step 3: Cross multiply
   1,653.48x = 2,478.60 × 680.27
4. Step 4: Simplify right side
   1,653.48x = 1,686,104.83
5. Step 5: Solve for x
   x = 1,686,104.83/1,653.48
6. Step 6: Final answer
   x = 1,019.73