Finding the Fourth Proportional to 2,002.38, 3,003.60 and 541.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.38 : 3,003.60 = 541.68 : x
2. Step 2: Convert to fraction form
   2,002.38/3,003.60 = 541.68/x
3. Step 3: Cross multiply
   2,002.38x = 3,003.60 × 541.68
4. Step 4: Simplify right side
   2,002.38x = 1,626,990.05
5. Step 5: Solve for x
   x = 1,626,990.05/2,002.38
6. Step 6: Final answer
   x = 812.53