Finding the Fourth Proportional to 2,092.82, 2,891.76 and 1,648.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.82 : 2,891.76 = 1,648.22 : x
2. Step 2: Convert to fraction form
   2,092.82/2,891.76 = 1,648.22/x
3. Step 3: Cross multiply
   2,092.82x = 2,891.76 × 1,648.22
4. Step 4: Simplify right side
   2,092.82x = 4,766,253.05
5. Step 5: Solve for x
   x = 4,766,253.05/2,092.82
6. Step 6: Final answer
   x = 2,277.44