Finding the Fourth Proportional to 2,098.89, 2,894.90 and 2,005.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.89 : 2,894.90 = 2,005.83 : x
2. Step 2: Convert to fraction form
   2,098.89/2,894.90 = 2,005.83/x
3. Step 3: Cross multiply
   2,098.89x = 2,894.90 × 2,005.83
4. Step 4: Simplify right side
   2,098.89x = 5,806,667.24
5. Step 5: Solve for x
   x = 5,806,667.24/2,098.89
6. Step 6: Final answer
   x = 2,766.54