Finding the Fourth Proportional to 2,738.50, 3,775.65 and 2,101.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.50 : 3,775.65 = 2,101.18 : x
2. Step 2: Convert to fraction form
   2,738.50/3,775.65 = 2,101.18/x
3. Step 3: Cross multiply
   2,738.50x = 3,775.65 × 2,101.18
4. Step 4: Simplify right side
   2,738.50x = 7,933,320.27
5. Step 5: Solve for x
   x = 7,933,320.27/2,738.50
6. Step 6: Final answer
   x = 2,896.96