Finding the Fourth Proportional to 27,384, 37,789.92 and 16,206

Step by Step Solution

1. Step 1: Write the proportion equation
   27,384 : 37,789.92 = 16,206 : x
2. Step 2: Convert to fraction form
   27,384/37,789.92 = 16,206/x
3. Step 3: Cross multiply
   27,384x = 37,789.92 × 16,206
4. Step 4: Simplify right side
   27,384x = 612,423,443.52
5. Step 5: Solve for x
   x = 612,423,443.52/27,384
6. Step 6: Final answer
   x = 22,364.28