Finding the Fourth Proportional to 8,429.82, 12,642.57 and 5,796.78

Step by Step Solution

1. Step 1: Write the proportion equation
   8,429.82 : 12,642.57 = 5,796.78 : x
2. Step 2: Convert to fraction form
   8,429.82/12,642.57 = 5,796.78/x
3. Step 3: Cross multiply
   8,429.82x = 12,642.57 × 5,796.78
4. Step 4: Simplify right side
   8,429.82x = 73,286,196.92
5. Step 5: Solve for x
   x = 73,286,196.92/8,429.82
6. Step 6: Final answer
   x = 8,693.68