Finding the Fourth Proportional to 2,002.05, 3,003.11 and 1,591.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.05 : 3,003.11 = 1,591.47 : x
2. Step 2: Convert to fraction form
   2,002.05/3,003.11 = 1,591.47/x
3. Step 3: Cross multiply
   2,002.05x = 3,003.11 × 1,591.47
4. Step 4: Simplify right side
   2,002.05x = 4,779,351.51
5. Step 5: Solve for x
   x = 4,779,351.51/2,002.05
6. Step 6: Final answer
   x = 2,387.23