Finding the Fourth Proportional to 22,582.50, 31,164.93 and 13,629.84

Step by Step Solution

1. Step 1: Write the proportion equation
   22,582.50 : 31,164.93 = 13,629.84 : x
2. Step 2: Convert to fraction form
   22,582.50/31,164.93 = 13,629.84/x
3. Step 3: Cross multiply
   22,582.50x = 31,164.93 × 13,629.84
4. Step 4: Simplify right side
   22,582.50x = 424,773,009.51
5. Step 5: Solve for x
   x = 424,773,009.51/22,582.50
6. Step 6: Final answer
   x = 18,809.83