Finding the Fourth Proportional to 1,157.46, 1,597.35 and 685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.46 : 1,597.35 = 685.50 : x
2. Step 2: Convert to fraction form
   1,157.46/1,597.35 = 685.50/x
3. Step 3: Cross multiply
   1,157.46x = 1,597.35 × 685.50
4. Step 4: Simplify right side
   1,157.46x = 1,094,983.43
5. Step 5: Solve for x
   x = 1,094,983.43/1,157.46
6. Step 6: Final answer
   x = 946.02