Finding the Fourth Proportional to 2,002.65, 3,003.49 and 541.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.65 : 3,003.49 = 541.81 : x
2. Step 2: Convert to fraction form
   2,002.65/3,003.49 = 541.81/x
3. Step 3: Cross multiply
   2,002.65x = 3,003.49 × 541.81
4. Step 4: Simplify right side
   2,002.65x = 1,627,320.92
5. Step 5: Solve for x
   x = 1,627,320.92/2,002.65
6. Step 6: Final answer
   x = 812.58