Finding the Fourth Proportional to 9,601.59, 14,401.20 and 2,582.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,601.59 : 14,401.20 = 2,582.13 : x
2. Step 2: Convert to fraction form
   9,601.59/14,401.20 = 2,582.13/x
3. Step 3: Cross multiply
   9,601.59x = 14,401.20 × 2,582.13
4. Step 4: Simplify right side
   9,601.59x = 37,185,770.56
5. Step 5: Solve for x
   x = 37,185,770.56/9,601.59
6. Step 6: Final answer
   x = 3,872.88