Finding the Fourth Proportional to 1,405.94, 1,940.45 and 816.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.94 : 1,940.45 = 816.48 : x
2. Step 2: Convert to fraction form
   1,405.94/1,940.45 = 816.48/x
3. Step 3: Cross multiply
   1,405.94x = 1,940.45 × 816.48
4. Step 4: Simplify right side
   1,405.94x = 1,584,334.53
5. Step 5: Solve for x
   x = 1,584,334.53/1,405.94
6. Step 6: Final answer
   x = 1,126.89