Finding the Fourth Proportional to 2,005.94, 3,008.89 and 545.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.94 : 3,008.89 = 545.09 : x
2. Step 2: Convert to fraction form
   2,005.94/3,008.89 = 545.09/x
3. Step 3: Cross multiply
   2,005.94x = 3,008.89 × 545.09
4. Step 4: Simplify right side
   2,005.94x = 1,640,100.81
5. Step 5: Solve for x
   x = 1,640,100.81/2,005.94
6. Step 6: Final answer
   x = 817.62