Finding the Fourth Proportional to 2,002.70, 3,003.71 and 541.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.70 : 3,003.71 = 541.51 : x
2. Step 2: Convert to fraction form
   2,002.70/3,003.71 = 541.51/x
3. Step 3: Cross multiply
   2,002.70x = 3,003.71 × 541.51
4. Step 4: Simplify right side
   2,002.70x = 1,626,538.76
5. Step 5: Solve for x
   x = 1,626,538.76/2,002.70
6. Step 6: Final answer
   x = 812.17