Finding the Fourth Proportional to 2,003.82, 3,005.71 and 542.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.82 : 3,005.71 = 542.96 : x
2. Step 2: Convert to fraction form
   2,003.82/3,005.71 = 542.96/x
3. Step 3: Cross multiply
   2,003.82x = 3,005.71 × 542.96
4. Step 4: Simplify right side
   2,003.82x = 1,631,987.82
5. Step 5: Solve for x
   x = 1,631,987.82/2,003.82
6. Step 6: Final answer
   x = 814.44