Finding the Fourth Proportional to 1,157.59, 1,597.62 and 685.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.59 : 1,597.62 = 685.59 : x
2. Step 2: Convert to fraction form
   1,157.59/1,597.62 = 685.59/x
3. Step 3: Cross multiply
   1,157.59x = 1,597.62 × 685.59
4. Step 4: Simplify right side
   1,157.59x = 1,095,312.30
5. Step 5: Solve for x
   x = 1,095,312.30/1,157.59
6. Step 6: Final answer
   x = 946.20