Finding the Fourth Proportional to 2,003.97, 3,005.98 and 543.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.97 : 3,005.98 = 543.14 : x
2. Step 2: Convert to fraction form
   2,003.97/3,005.98 = 543.14/x
3. Step 3: Cross multiply
   2,003.97x = 3,005.98 × 543.14
4. Step 4: Simplify right side
   2,003.97x = 1,632,662.86
5. Step 5: Solve for x
   x = 1,632,662.86/2,003.97
6. Step 6: Final answer
   x = 814.71