Finding the Fourth Proportional to 3,782.43, 5,667.87 and 1,589.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.43 : 5,667.87 = 1,589.96 : x
2. Step 2: Convert to fraction form
   3,782.43/5,667.87 = 1,589.96/x
3. Step 3: Cross multiply
   3,782.43x = 5,667.87 × 1,589.96
4. Step 4: Simplify right side
   3,782.43x = 9,011,686.59
5. Step 5: Solve for x
   x = 9,011,686.59/3,782.43
6. Step 6: Final answer
   x = 2,382.51