Finding the Fourth Proportional to 2,004.38, 3,006.56 and 543.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.38 : 3,006.56 = 543.53 : x
2. Step 2: Convert to fraction form
   2,004.38/3,006.56 = 543.53/x
3. Step 3: Cross multiply
   2,004.38x = 3,006.56 × 543.53
4. Step 4: Simplify right side
   2,004.38x = 1,634,155.56
5. Step 5: Solve for x
   x = 1,634,155.56/2,004.38
6. Step 6: Final answer
   x = 815.29