Finding the Fourth Proportional to 22,582, 31,164.24 and 13,629.34

Step by Step Solution

1. Step 1: Write the proportion equation
   22,582 : 31,164.24 = 13,629.34 : x
2. Step 2: Convert to fraction form
   22,582/31,164.24 = 13,629.34/x
3. Step 3: Cross multiply
   22,582x = 31,164.24 × 13,629.34
4. Step 4: Simplify right side
   22,582x = 424,748,022.80
5. Step 5: Solve for x
   x = 424,748,022.80/22,582
6. Step 6: Final answer
   x = 18,809.14