Finding the Fourth Proportional to 2,003.78, 3,005.83 and 543.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.78 : 3,005.83 = 543.05 : x
2. Step 2: Convert to fraction form
   2,003.78/3,005.83 = 543.05/x
3. Step 3: Cross multiply
   2,003.78x = 3,005.83 × 543.05
4. Step 4: Simplify right side
   2,003.78x = 1,632,313.27
5. Step 5: Solve for x
   x = 1,632,313.27/2,003.78
6. Step 6: Final answer
   x = 814.62