Finding the Fourth Proportional to 2,003.29, 3,004.57 and 542.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.29 : 3,004.57 = 542.55 : x
2. Step 2: Convert to fraction form
   2,003.29/3,004.57 = 542.55/x
3. Step 3: Cross multiply
   2,003.29x = 3,004.57 × 542.55
4. Step 4: Simplify right side
   2,003.29x = 1,630,141.40
5. Step 5: Solve for x
   x = 1,630,141.40/2,003.29
6. Step 6: Final answer
   x = 813.73