Finding the Fourth Proportional to 1,151.43, 1,589.00 and 685.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.43 : 1,589.00 = 685.95 : x
2. Step 2: Convert to fraction form
   1,151.43/1,589.00 = 685.95/x
3. Step 3: Cross multiply
   1,151.43x = 1,589.00 × 685.95
4. Step 4: Simplify right side
   1,151.43x = 1,089,971.12
5. Step 5: Solve for x
   x = 1,089,971.12/1,151.43
6. Step 6: Final answer
   x = 946.62