Finding the Fourth Proportional to 2,522.77, 3,478.40 and 1,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.77 : 3,478.40 = 1,638.25 : x
2. Step 2: Convert to fraction form
   2,522.77/3,478.40 = 1,638.25/x
3. Step 3: Cross multiply
   2,522.77x = 3,478.40 × 1,638.25
4. Step 4: Simplify right side
   2,522.77x = 5,698,488.80
5. Step 5: Solve for x
   x = 5,698,488.80/2,522.77
6. Step 6: Final answer
   x = 2,258.82