Finding the Fourth Proportional to 2,563.84, 3,538.20 and 1,678.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.84 : 3,538.20 = 1,678.96 : x
2. Step 2: Convert to fraction form
   2,563.84/3,538.20 = 1,678.96/x
3. Step 3: Cross multiply
   2,563.84x = 3,538.20 × 1,678.96
4. Step 4: Simplify right side
   2,563.84x = 5,940,496.27
5. Step 5: Solve for x
   x = 5,940,496.27/2,563.84
6. Step 6: Final answer
   x = 2,317.03