Finding the Fourth Proportional to 2,003.10, 3,004.41 and 542.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.10 : 3,004.41 = 542.37 : x
2. Step 2: Convert to fraction form
   2,003.10/3,004.41 = 542.37/x
3. Step 3: Cross multiply
   2,003.10x = 3,004.41 × 542.37
4. Step 4: Simplify right side
   2,003.10x = 1,629,501.85
5. Step 5: Solve for x
   x = 1,629,501.85/2,003.10
6. Step 6: Final answer
   x = 813.49