Finding the Fourth Proportional to 2,020.87, 3,029.68 and 1,142.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,020.87 : 3,029.68 = 1,142.83 : x
2. Step 2: Convert to fraction form
   2,020.87/3,029.68 = 1,142.83/x
3. Step 3: Cross multiply
   2,020.87x = 3,029.68 × 1,142.83
4. Step 4: Simplify right side
   2,020.87x = 3,462,409.19
5. Step 5: Solve for x
   x = 3,462,409.19/2,020.87
6. Step 6: Final answer
   x = 1,713.33