Finding the Fourth Proportional to 1,151.61, 1,589.20 and 685.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.61 : 1,589.20 = 685.86 : x
2. Step 2: Convert to fraction form
   1,151.61/1,589.20 = 685.86/x
3. Step 3: Cross multiply
   1,151.61x = 1,589.20 × 685.86
4. Step 4: Simplify right side
   1,151.61x = 1,089,968.71
5. Step 5: Solve for x
   x = 1,089,968.71/1,151.61
6. Step 6: Final answer
   x = 946.47