Finding the Fourth Proportional to 5,738.34, 7,923.59 and 4,676.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,738.34 : 7,923.59 = 4,676.27 : x
2. Step 2: Convert to fraction form
   5,738.34/7,923.59 = 4,676.27/x
3. Step 3: Cross multiply
   5,738.34x = 7,923.59 × 4,676.27
4. Step 4: Simplify right side
   5,738.34x = 37,052,783.21
5. Step 5: Solve for x
   x = 37,052,783.21/5,738.34
6. Step 6: Final answer
   x = 6,457.06