Finding the Fourth Proportional to 1,185.82, 1,635.60 and 812.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.82 : 1,635.60 = 812.23 : x
2. Step 2: Convert to fraction form
   1,185.82/1,635.60 = 812.23/x
3. Step 3: Cross multiply
   1,185.82x = 1,635.60 × 812.23
4. Step 4: Simplify right side
   1,185.82x = 1,328,483.39
5. Step 5: Solve for x
   x = 1,328,483.39/1,185.82
6. Step 6: Final answer
   x = 1,120.31