Finding the Fourth Proportional to 1,586.67, 2,381.55 and 765.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.67 : 2,381.55 = 765.52 : x
2. Step 2: Convert to fraction form
   1,586.67/2,381.55 = 765.52/x
3. Step 3: Cross multiply
   1,586.67x = 2,381.55 × 765.52
4. Step 4: Simplify right side
   1,586.67x = 1,823,132.40
5. Step 5: Solve for x
   x = 1,823,132.40/1,586.67
6. Step 6: Final answer
   x = 1,149.03