Finding the Fourth Proportional to 22,598, 31,185.24 and 13,766

Step by Step Solution

1. Step 1: Write the proportion equation
   22,598 : 31,185.24 = 13,766 : x
2. Step 2: Convert to fraction form
   22,598/31,185.24 = 13,766/x
3. Step 3: Cross multiply
   22,598x = 31,185.24 × 13,766
4. Step 4: Simplify right side
   22,598x = 429,296,013.84
5. Step 5: Solve for x
   x = 429,296,013.84/22,598
6. Step 6: Final answer
   x = 18,997.08