Finding the Fourth Proportional to 1,151.77, 1,589.15 and 685.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.77 : 1,589.15 = 685.69 : x
2. Step 2: Convert to fraction form
   1,151.77/1,589.15 = 685.69/x
3. Step 3: Cross multiply
   1,151.77x = 1,589.15 × 685.69
4. Step 4: Simplify right side
   1,151.77x = 1,089,660.84
5. Step 5: Solve for x
   x = 1,089,660.84/1,151.77
6. Step 6: Final answer
   x = 946.08