Finding the Fourth Proportional to 1,157.58, 1,597.10 and 685.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.58 : 1,597.10 = 685.53 : x
2. Step 2: Convert to fraction form
   1,157.58/1,597.10 = 685.53/x
3. Step 3: Cross multiply
   1,157.58x = 1,597.10 × 685.53
4. Step 4: Simplify right side
   1,157.58x = 1,094,856.54
5. Step 5: Solve for x
   x = 1,094,856.54/1,157.58
6. Step 6: Final answer
   x = 945.82