Finding the Fourth Proportional to 3,758.10, 5,638.45 and 1,677.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.10 : 5,638.45 = 1,677.89 : x
2. Step 2: Convert to fraction form
   3,758.10/5,638.45 = 1,677.89/x
3. Step 3: Cross multiply
   3,758.10x = 5,638.45 × 1,677.89
4. Step 4: Simplify right side
   3,758.10x = 9,460,698.87
5. Step 5: Solve for x
   x = 9,460,698.87/3,758.10
6. Step 6: Final answer
   x = 2,517.42