Finding the Fourth Proportional to 1,336.78, 2,003.34 and 686.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,336.78 : 2,003.34 = 686.14 : x
2. Step 2: Convert to fraction form
   1,336.78/2,003.34 = 686.14/x
3. Step 3: Cross multiply
   1,336.78x = 2,003.34 × 686.14
4. Step 4: Simplify right side
   1,336.78x = 1,374,571.71
5. Step 5: Solve for x
   x = 1,374,571.71/1,336.78
6. Step 6: Final answer
   x = 1,028.27