Finding the Fourth Proportional to 2,002.52, 3,003.57 and 541.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.52 : 3,003.57 = 541.82 : x
2. Step 2: Convert to fraction form
   2,002.52/3,003.57 = 541.82/x
3. Step 3: Cross multiply
   2,002.52x = 3,003.57 × 541.82
4. Step 4: Simplify right side
   2,002.52x = 1,627,379.28
5. Step 5: Solve for x
   x = 1,627,379.28/2,002.52
6. Step 6: Final answer
   x = 812.67