Finding the Fourth Proportional to 1,185.82, 1,635.89 and 766.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.82 : 1,635.89 = 766.31 : x
2. Step 2: Convert to fraction form
   1,185.82/1,635.89 = 766.31/x
3. Step 3: Cross multiply
   1,185.82x = 1,635.89 × 766.31
4. Step 4: Simplify right side
   1,185.82x = 1,253,586.85
5. Step 5: Solve for x
   x = 1,253,586.85/1,185.82
6. Step 6: Final answer
   x = 1,057.15