Finding the Fourth Proportional to 1,589.72, 2,381.38 and 765.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.72 : 2,381.38 = 765.55 : x
2. Step 2: Convert to fraction form
   1,589.72/2,381.38 = 765.55/x
3. Step 3: Cross multiply
   1,589.72x = 2,381.38 × 765.55
4. Step 4: Simplify right side
   1,589.72x = 1,823,065.46
5. Step 5: Solve for x
   x = 1,823,065.46/1,589.72
6. Step 6: Final answer
   x = 1,146.78