Finding the Fourth Proportional to 22,582.40, 31,161.24 and 13,022.10

Step by Step Solution

1. Step 1: Write the proportion equation
   22,582.40 : 31,161.24 = 13,022.10 : x
2. Step 2: Convert to fraction form
   22,582.40/31,161.24 = 13,022.10/x
3. Step 3: Cross multiply
   22,582.40x = 31,161.24 × 13,022.10
4. Step 4: Simplify right side
   22,582.40x = 405,784,783.40
5. Step 5: Solve for x
   x = 405,784,783.40/22,582.40
6. Step 6: Final answer
   x = 17,969.08