Finding the Fourth Proportional to 2,081.50, 3,126.22 and 1,205.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.50 : 3,126.22 = 1,205.76 : x
2. Step 2: Convert to fraction form
   2,081.50/3,126.22 = 1,205.76/x
3. Step 3: Cross multiply
   2,081.50x = 3,126.22 × 1,205.76
4. Step 4: Simplify right side
   2,081.50x = 3,769,472.53
5. Step 5: Solve for x
   x = 3,769,472.53/2,081.50
6. Step 6: Final answer
   x = 1,810.94