Finding the Fourth Proportional to 9,786.76, 14,673.15 and 5,828.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.76 : 14,673.15 = 5,828.69 : x
2. Step 2: Convert to fraction form
   9,786.76/14,673.15 = 5,828.69/x
3. Step 3: Cross multiply
   9,786.76x = 14,673.15 × 5,828.69
4. Step 4: Simplify right side
   9,786.76x = 85,525,279.36
5. Step 5: Solve for x
   x = 85,525,279.36/9,786.76
6. Step 6: Final answer
   x = 8,738.88