Finding the Fourth Proportional to 2,522.41, 3,478.95 and 1,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.41 : 3,478.95 = 1,638.50 : x
2. Step 2: Convert to fraction form
   2,522.41/3,478.95 = 1,638.50/x
3. Step 3: Cross multiply
   2,522.41x = 3,478.95 × 1,638.50
4. Step 4: Simplify right side
   2,522.41x = 5,700,242.18
5. Step 5: Solve for x
   x = 5,700,242.18/2,522.41
6. Step 6: Final answer
   x = 2,259.84