Finding the Fourth Proportional to 2,638.53, 3,640.57 and 1,576.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.53 : 3,640.57 = 1,576.10 : x
2. Step 2: Convert to fraction form
   2,638.53/3,640.57 = 1,576.10/x
3. Step 3: Cross multiply
   2,638.53x = 3,640.57 × 1,576.10
4. Step 4: Simplify right side
   2,638.53x = 5,737,902.38
5. Step 5: Solve for x
   x = 5,737,902.38/2,638.53
6. Step 6: Final answer
   x = 2,174.66