Finding the Fourth Proportional to 2,522.61, 3,780.27 and 1,424.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.61 : 3,780.27 = 1,424.25 : x
2. Step 2: Convert to fraction form
   2,522.61/3,780.27 = 1,424.25/x
3. Step 3: Cross multiply
   2,522.61x = 3,780.27 × 1,424.25
4. Step 4: Simplify right side
   2,522.61x = 5,384,049.55
5. Step 5: Solve for x
   x = 5,384,049.55/2,522.61
6. Step 6: Final answer
   x = 2,134.32