Finding the Fourth Proportional to 1,586.38, 2,380.38 and 709.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.38 : 2,380.38 = 709.15 : x
2. Step 2: Convert to fraction form
   1,586.38/2,380.38 = 709.15/x
3. Step 3: Cross multiply
   1,586.38x = 2,380.38 × 709.15
4. Step 4: Simplify right side
   1,586.38x = 1,688,046.48
5. Step 5: Solve for x
   x = 1,688,046.48/1,586.38
6. Step 6: Final answer
   x = 1,064.09