Finding the Fourth Proportional to 5,096.78, 7,644.35 and 1,398.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.78 : 7,644.35 = 1,398.15 : x
2. Step 2: Convert to fraction form
   5,096.78/7,644.35 = 1,398.15/x
3. Step 3: Cross multiply
   5,096.78x = 7,644.35 × 1,398.15
4. Step 4: Simplify right side
   5,096.78x = 10,687,951.45
5. Step 5: Solve for x
   x = 10,687,951.45/5,096.78
6. Step 6: Final answer
   x = 2,097.00