Finding the Fourth Proportional to 2,092.29, 2,886.78 and 1,648.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.29 : 2,886.78 = 1,648.81 : x
2. Step 2: Convert to fraction form
   2,092.29/2,886.78 = 1,648.81/x
3. Step 3: Cross multiply
   2,092.29x = 2,886.78 × 1,648.81
4. Step 4: Simplify right side
   2,092.29x = 4,759,751.73
5. Step 5: Solve for x
   x = 4,759,751.73/2,092.29
6. Step 6: Final answer
   x = 2,274.90