Finding the Fourth Proportional to 11,826.35, 16,315.25 and 6,789.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826.35 : 16,315.25 = 6,789.42 : x
2. Step 2: Convert to fraction form
   11,826.35/16,315.25 = 6,789.42/x
3. Step 3: Cross multiply
   11,826.35x = 16,315.25 × 6,789.42
4. Step 4: Simplify right side
   11,826.35x = 110,771,069.80
5. Step 5: Solve for x
   x = 110,771,069.80/11,826.35
6. Step 6: Final answer
   x = 9,366.46