Finding the Fourth Proportional to 1,076.76, 1,613.72 and 685.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.76 : 1,613.72 = 685.53 : x
2. Step 2: Convert to fraction form
   1,076.76/1,613.72 = 685.53/x
3. Step 3: Cross multiply
   1,076.76x = 1,613.72 × 685.53
4. Step 4: Simplify right side
   1,076.76x = 1,106,255.19
5. Step 5: Solve for x
   x = 1,106,255.19/1,076.76
6. Step 6: Final answer
   x = 1,027.39