Finding the Fourth Proportional to 1,199.31, 1,655.46 and 806.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.31 : 1,655.46 = 806.82 : x
2. Step 2: Convert to fraction form
   1,199.31/1,655.46 = 806.82/x
3. Step 3: Cross multiply
   1,199.31x = 1,655.46 × 806.82
4. Step 4: Simplify right side
   1,199.31x = 1,335,658.24
5. Step 5: Solve for x
   x = 1,335,658.24/1,199.31
6. Step 6: Final answer
   x = 1,113.69