Finding the Fourth Proportional to 16,384.80, 24,574.50 and 7,026.33

Step by Step Solution

1. Step 1: Write the proportion equation
   16,384.80 : 24,574.50 = 7,026.33 : x
2. Step 2: Convert to fraction form
   16,384.80/24,574.50 = 7,026.33/x
3. Step 3: Cross multiply
   16,384.80x = 24,574.50 × 7,026.33
4. Step 4: Simplify right side
   16,384.80x = 172,668,546.59
5. Step 5: Solve for x
   x = 172,668,546.59/16,384.80
6. Step 6: Final answer
   x = 10,538.34