Finding the Fourth Proportional to 5,732.64, 7,912.72 and 3,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,732.64 : 7,912.72 = 3,743.50 : x
2. Step 2: Convert to fraction form
   5,732.64/7,912.72 = 3,743.50/x
3. Step 3: Cross multiply
   5,732.64x = 7,912.72 × 3,743.50
4. Step 4: Simplify right side
   5,732.64x = 29,621,267.05
5. Step 5: Solve for x
   x = 29,621,267.05/5,732.64
6. Step 6: Final answer
   x = 5,167.12