Finding the Fourth Proportional to 9,096.18, 13,644.50 and 2,522.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.18 : 13,644.50 = 2,522.35 : x
2. Step 2: Convert to fraction form
   9,096.18/13,644.50 = 2,522.35/x
3. Step 3: Cross multiply
   9,096.18x = 13,644.50 × 2,522.35
4. Step 4: Simplify right side
   9,096.18x = 34,416,204.58
5. Step 5: Solve for x
   x = 34,416,204.58/9,096.18
6. Step 6: Final answer
   x = 3,783.59