Finding the Fourth Proportional to 2,456.34, 3,682.14 and 1,576.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.34 : 3,682.14 = 1,576.38 : x
2. Step 2: Convert to fraction form
   2,456.34/3,682.14 = 1,576.38/x
3. Step 3: Cross multiply
   2,456.34x = 3,682.14 × 1,576.38
4. Step 4: Simplify right side
   2,456.34x = 5,804,451.85
5. Step 5: Solve for x
   x = 5,804,451.85/2,456.34
6. Step 6: Final answer
   x = 2,363.05