Finding the Fourth Proportional to 6,788.16, 10,164.72 and 5,689.68

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788.16 : 10,164.72 = 5,689.68 : x
2. Step 2: Convert to fraction form
   6,788.16/10,164.72 = 5,689.68/x
3. Step 3: Cross multiply
   6,788.16x = 10,164.72 × 5,689.68
4. Step 4: Simplify right side
   6,788.16x = 57,834,004.09
5. Step 5: Solve for x
   x = 57,834,004.09/6,788.16
6. Step 6: Final answer
   x = 8,519.84