Finding the Fourth Proportional to 2,105.38, 2,905.77 and 1,266.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.38 : 2,905.77 = 1,266.54 : x
2. Step 2: Convert to fraction form
   2,105.38/2,905.77 = 1,266.54/x
3. Step 3: Cross multiply
   2,105.38x = 2,905.77 × 1,266.54
4. Step 4: Simplify right side
   2,105.38x = 3,680,278.16
5. Step 5: Solve for x
   x = 3,680,278.16/2,105.38
6. Step 6: Final answer
   x = 1,748.04