Finding the Fourth Proportional to 2,638.58, 3,642.46 and 1,977.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.58 : 3,642.46 = 1,977.62 : x
2. Step 2: Convert to fraction form
   2,638.58/3,642.46 = 1,977.62/x
3. Step 3: Cross multiply
   2,638.58x = 3,642.46 × 1,977.62
4. Step 4: Simplify right side
   2,638.58x = 7,203,401.75
5. Step 5: Solve for x
   x = 7,203,401.75/2,638.58
6. Step 6: Final answer
   x = 2,730.03