Finding the Fourth Proportional to 1,199.58, 1,796.49 and 685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.58 : 1,796.49 = 685.50 : x
2. Step 2: Convert to fraction form
   1,199.58/1,796.49 = 685.50/x
3. Step 3: Cross multiply
   1,199.58x = 1,796.49 × 685.50
4. Step 4: Simplify right side
   1,199.58x = 1,231,493.90
5. Step 5: Solve for x
   x = 1,231,493.90/1,199.58
6. Step 6: Final answer
   x = 1,026.60