Finding the Fourth Proportional to 5,105.37, 7,654.46 and 1,982.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.37 : 7,654.46 = 1,982.78 : x
2. Step 2: Convert to fraction form
   5,105.37/7,654.46 = 1,982.78/x
3. Step 3: Cross multiply
   5,105.37x = 7,654.46 × 1,982.78
4. Step 4: Simplify right side
   5,105.37x = 15,177,062.01
5. Step 5: Solve for x
   x = 15,177,062.01/5,105.37
6. Step 6: Final answer
   x = 2,972.76