Finding the Fourth Proportional to 2,638.10, 3,640.56 and 1,576.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.10 : 3,640.56 = 1,576.35 : x
2. Step 2: Convert to fraction form
   2,638.10/3,640.56 = 1,576.35/x
3. Step 3: Cross multiply
   2,638.10x = 3,640.56 × 1,576.35
4. Step 4: Simplify right side
   2,638.10x = 5,738,796.76
5. Step 5: Solve for x
   x = 5,738,796.76/2,638.10
6. Step 6: Final answer
   x = 2,175.35