Finding the Fourth Proportional to 5,777.38, 7,972.78 and 3,682.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,777.38 : 7,972.78 = 3,682.72 : x
2. Step 2: Convert to fraction form
   5,777.38/7,972.78 = 3,682.72/x
3. Step 3: Cross multiply
   5,777.38x = 7,972.78 × 3,682.72
4. Step 4: Simplify right side
   5,777.38x = 29,361,476.50
5. Step 5: Solve for x
   x = 29,361,476.50/5,777.38
6. Step 6: Final answer
   x = 5,082.15