Finding the Fourth Proportional to 1,406.23, 1,940.48 and 816.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.23 : 1,940.48 = 816.80 : x
2. Step 2: Convert to fraction form
   1,406.23/1,940.48 = 816.80/x
3. Step 3: Cross multiply
   1,406.23x = 1,940.48 × 816.80
4. Step 4: Simplify right side
   1,406.23x = 1,584,986.55
5. Step 5: Solve for x
   x = 1,584,986.55/1,406.23
6. Step 6: Final answer
   x = 1,127.12