Finding the Fourth Proportional to 16,559.37, 24,826.91 and 7,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,559.37 : 24,826.91 = 7,789.50 : x
2. Step 2: Convert to fraction form
   16,559.37/24,826.91 = 7,789.50/x
3. Step 3: Cross multiply
   16,559.37x = 24,826.91 × 7,789.50
4. Step 4: Simplify right side
   16,559.37x = 193,389,176.50
5. Step 5: Solve for x
   x = 193,389,176.50/16,559.37
6. Step 6: Final answer
   x = 11,678.53