Finding the Fourth Proportional to 1,405.82, 1,940.02 and 816.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.82 : 1,940.02 = 816.38 : x
2. Step 2: Convert to fraction form
   1,405.82/1,940.02 = 816.38/x
3. Step 3: Cross multiply
   1,405.82x = 1,940.02 × 816.38
4. Step 4: Simplify right side
   1,405.82x = 1,583,793.53
5. Step 5: Solve for x
   x = 1,583,793.53/1,405.82
6. Step 6: Final answer
   x = 1,126.60