Finding the Fourth Proportional to 2,108.56, 3,175.41 and 1,838.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,108.56 : 3,175.41 = 1,838.02 : x
2. Step 2: Convert to fraction form
   2,108.56/3,175.41 = 1,838.02/x
3. Step 3: Cross multiply
   2,108.56x = 3,175.41 × 1,838.02
4. Step 4: Simplify right side
   2,108.56x = 5,836,467.09
5. Step 5: Solve for x
   x = 5,836,467.09/2,108.56
6. Step 6: Final answer
   x = 2,767.99