Finding the Fourth Proportional to 2,477.89, 3,419.97 and 1,638.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477.89 : 3,419.97 = 1,638.64 : x
2. Step 2: Convert to fraction form
   2,477.89/3,419.97 = 1,638.64/x
3. Step 3: Cross multiply
   2,477.89x = 3,419.97 × 1,638.64
4. Step 4: Simplify right side
   2,477.89x = 5,604,099.64
5. Step 5: Solve for x
   x = 5,604,099.64/2,477.89
6. Step 6: Final answer
   x = 2,261.64