Finding the Fourth Proportional to 1,589.50, 2,193.83 and 1,433.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.50 : 2,193.83 = 1,433.68 : x
2. Step 2: Convert to fraction form
   1,589.50/2,193.83 = 1,433.68/x
3. Step 3: Cross multiply
   1,589.50x = 2,193.83 × 1,433.68
4. Step 4: Simplify right side
   1,589.50x = 3,145,258.69
5. Step 5: Solve for x
   x = 3,145,258.69/1,589.50
6. Step 6: Final answer
   x = 1,978.77