Finding the Fourth Proportional to 2,953.91, 4,078.38 and 2,638.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,953.91 : 4,078.38 = 2,638.14 : x
2. Step 2: Convert to fraction form
   2,953.91/4,078.38 = 2,638.14/x
3. Step 3: Cross multiply
   2,953.91x = 4,078.38 × 2,638.14
4. Step 4: Simplify right side
   2,953.91x = 10,759,337.41
5. Step 5: Solve for x
   x = 10,759,337.41/2,953.91
6. Step 6: Final answer
   x = 3,642.41