Finding the Fourth Proportional to 16,542.77, 22,819.78 and 10,164.93

Step by Step Solution

1. Step 1: Write the proportion equation
   16,542.77 : 22,819.78 = 10,164.93 : x
2. Step 2: Convert to fraction form
   16,542.77/22,819.78 = 10,164.93/x
3. Step 3: Cross multiply
   16,542.77x = 22,819.78 × 10,164.93
4. Step 4: Simplify right side
   16,542.77x = 231,961,336.27
5. Step 5: Solve for x
   x = 231,961,336.27/16,542.77
6. Step 6: Final answer
   x = 14,021.92