Finding the Fourth Proportional to 1,151.60, 1,589.32 and 685.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.60 : 1,589.32 = 685.84 : x
2. Step 2: Convert to fraction form
   1,151.60/1,589.32 = 685.84/x
3. Step 3: Cross multiply
   1,151.60x = 1,589.32 × 685.84
4. Step 4: Simplify right side
   1,151.60x = 1,090,019.23
5. Step 5: Solve for x
   x = 1,090,019.23/1,151.60
6. Step 6: Final answer
   x = 946.53