Finding the Fourth Proportional to 2,004.23, 3,006.42 and 543.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.23 : 3,006.42 = 543.42 : x
2. Step 2: Convert to fraction form
   2,004.23/3,006.42 = 543.42/x
3. Step 3: Cross multiply
   2,004.23x = 3,006.42 × 543.42
4. Step 4: Simplify right side
   2,004.23x = 1,633,746.72
5. Step 5: Solve for x
   x = 1,633,746.72/2,004.23
6. Step 6: Final answer
   x = 815.15