Finding the Fourth Proportional to 9,522.54, 14,283.27 and 2,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,522.54 : 14,283.27 = 2,596.50 : x
2. Step 2: Convert to fraction form
   9,522.54/14,283.27 = 2,596.50/x
3. Step 3: Cross multiply
   9,522.54x = 14,283.27 × 2,596.50
4. Step 4: Simplify right side
   9,522.54x = 37,086,510.56
5. Step 5: Solve for x
   x = 37,086,510.56/9,522.54
6. Step 6: Final answer
   x = 3,894.60