Finding the Fourth Proportional to 2,002.35, 3,003.14 and 541.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.35 : 3,003.14 = 541.13 : x
2. Step 2: Convert to fraction form
   2,002.35/3,003.14 = 541.13/x
3. Step 3: Cross multiply
   2,002.35x = 3,003.14 × 541.13
4. Step 4: Simplify right side
   2,002.35x = 1,625,089.15
5. Step 5: Solve for x
   x = 1,625,089.15/2,002.35
6. Step 6: Final answer
   x = 811.59