Finding the Fourth Proportional to 2,065.37, 3,097.38 and 678.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.37 : 3,097.38 = 678.42 : x
2. Step 2: Convert to fraction form
   2,065.37/3,097.38 = 678.42/x
3. Step 3: Cross multiply
   2,065.37x = 3,097.38 × 678.42
4. Step 4: Simplify right side
   2,065.37x = 2,101,324.54
5. Step 5: Solve for x
   x = 2,101,324.54/2,065.37
6. Step 6: Final answer
   x = 1,017.41