Finding the Fourth Proportional to 3,002.11, 4,142.71 and 1,883

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.11 : 4,142.71 = 1,883 : x
2. Step 2: Convert to fraction form
   3,002.11/4,142.71 = 1,883/x
3. Step 3: Cross multiply
   3,002.11x = 4,142.71 × 1,883
4. Step 4: Simplify right side
   3,002.11x = 7,800,722.93
5. Step 5: Solve for x
   x = 7,800,722.93/3,002.11
6. Step 6: Final answer
   x = 2,598.41