Finding the Fourth Proportional to 5,756.82, 7,945.72 and 4,076.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,756.82 : 7,945.72 = 4,076.46 : x
2. Step 2: Convert to fraction form
   5,756.82/7,945.72 = 4,076.46/x
3. Step 3: Cross multiply
   5,756.82x = 7,945.72 × 4,076.46
4. Step 4: Simplify right side
   5,756.82x = 32,390,409.75
5. Step 5: Solve for x
   x = 32,390,409.75/5,756.82
6. Step 6: Final answer
   x = 5,626.44