Finding the Fourth Proportional to 1,406.36, 1,940.13 and 816.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.36 : 1,940.13 = 816.55 : x
2. Step 2: Convert to fraction form
   1,406.36/1,940.13 = 816.55/x
3. Step 3: Cross multiply
   1,406.36x = 1,940.13 × 816.55
4. Step 4: Simplify right side
   1,406.36x = 1,584,208.30
5. Step 5: Solve for x
   x = 1,584,208.30/1,406.36
6. Step 6: Final answer
   x = 1,126.46