Finding the Fourth Proportional to 2,477.55, 3,420.42 and 1,638

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477.55 : 3,420.42 = 1,638 : x
2. Step 2: Convert to fraction form
   2,477.55/3,420.42 = 1,638/x
3. Step 3: Cross multiply
   2,477.55x = 3,420.42 × 1,638
4. Step 4: Simplify right side
   2,477.55x = 5,602,647.96
5. Step 5: Solve for x
   x = 5,602,647.96/2,477.55
6. Step 6: Final answer
   x = 2,261.37