Finding the Fourth Proportional to 22,519.50, 31,076.91 and 12,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,519.50 : 31,076.91 = 12,583.50 : x
2. Step 2: Convert to fraction form
   22,519.50/31,076.91 = 12,583.50/x
3. Step 3: Cross multiply
   22,519.50x = 31,076.91 × 12,583.50
4. Step 4: Simplify right side
   22,519.50x = 391,056,296.99
5. Step 5: Solve for x
   x = 391,056,296.99/22,519.50
6. Step 6: Final answer
   x = 17,365.23