Finding the Fourth Proportional to 1,157.76, 1,597.61 and 685.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.76 : 1,597.61 = 685.56 : x
2. Step 2: Convert to fraction form
   1,157.76/1,597.61 = 685.56/x
3. Step 3: Cross multiply
   1,157.76x = 1,597.61 × 685.56
4. Step 4: Simplify right side
   1,157.76x = 1,095,257.51
5. Step 5: Solve for x
   x = 1,095,257.51/1,157.76
6. Step 6: Final answer
   x = 946.01