Finding the Fourth Proportional to 5,735.34, 7,913.70 and 3,966.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,735.34 : 7,913.70 = 3,966.30 : x
2. Step 2: Convert to fraction form
   5,735.34/7,913.70 = 3,966.30/x
3. Step 3: Cross multiply
   5,735.34x = 7,913.70 × 3,966.30
4. Step 4: Simplify right side
   5,735.34x = 31,388,108.31
5. Step 5: Solve for x
   x = 31,388,108.31/5,735.34
6. Step 6: Final answer
   x = 5,472.75