Finding the Fourth Proportional to 22,957, 31,684.50 and 13,026.76

Step by Step Solution

1. Step 1: Write the proportion equation
   22,957 : 31,684.50 = 13,026.76 : x
2. Step 2: Convert to fraction form
   22,957/31,684.50 = 13,026.76/x
3. Step 3: Cross multiply
   22,957x = 31,684.50 × 13,026.76
4. Step 4: Simplify right side
   22,957x = 412,746,377.22
5. Step 5: Solve for x
   x = 412,746,377.22/22,957
6. Step 6: Final answer
   x = 17,979.11