Finding the Fourth Proportional to 1,157.61, 1,596.96 and 685.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.61 : 1,596.96 = 685.47 : x
2. Step 2: Convert to fraction form
   1,157.61/1,596.96 = 685.47/x
3. Step 3: Cross multiply
   1,157.61x = 1,596.96 × 685.47
4. Step 4: Simplify right side
   1,157.61x = 1,094,668.17
5. Step 5: Solve for x
   x = 1,094,668.17/1,157.61
6. Step 6: Final answer
   x = 945.63