Finding the Fourth Proportional to 2,563.78, 3,538.54 and 1,666.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.78 : 3,538.54 = 1,666.28 : x
2. Step 2: Convert to fraction form
   2,563.78/3,538.54 = 1,666.28/x
3. Step 3: Cross multiply
   2,563.78x = 3,538.54 × 1,666.28
4. Step 4: Simplify right side
   2,563.78x = 5,896,198.43
5. Step 5: Solve for x
   x = 5,896,198.43/2,563.78
6. Step 6: Final answer
   x = 2,299.81