Finding the Fourth Proportional to 2,758.10, 3,805.89 and 1,638.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,758.10 : 3,805.89 = 1,638.98 : x
2. Step 2: Convert to fraction form
   2,758.10/3,805.89 = 1,638.98/x
3. Step 3: Cross multiply
   2,758.10x = 3,805.89 × 1,638.98
4. Step 4: Simplify right side
   2,758.10x = 6,237,777.59
5. Step 5: Solve for x
   x = 6,237,777.59/2,758.10
6. Step 6: Final answer
   x = 2,261.62