Finding the Fourth Proportional to 2,617.62, 3,922.38 and 1,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617.62 : 3,922.38 = 1,522.50 : x
2. Step 2: Convert to fraction form
   2,617.62/3,922.38 = 1,522.50/x
3. Step 3: Cross multiply
   2,617.62x = 3,922.38 × 1,522.50
4. Step 4: Simplify right side
   2,617.62x = 5,971,823.55
5. Step 5: Solve for x
   x = 5,971,823.55/2,617.62
6. Step 6: Final answer
   x = 2,281.39