Finding the Fourth Proportional to 22,896.27, 31,597.98 and 12,824.10

Step by Step Solution

1. Step 1: Write the proportion equation
   22,896.27 : 31,597.98 = 12,824.10 : x
2. Step 2: Convert to fraction form
   22,896.27/31,597.98 = 12,824.10/x
3. Step 3: Cross multiply
   22,896.27x = 31,597.98 × 12,824.10
4. Step 4: Simplify right side
   22,896.27x = 405,215,655.32
5. Step 5: Solve for x
   x = 405,215,655.32/22,896.27
6. Step 6: Final answer
   x = 17,697.89