Finding the Fourth Proportional to 1,406.25, 1,940.67 and 816.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.25 : 1,940.67 = 816.84 : x
2. Step 2: Convert to fraction form
   1,406.25/1,940.67 = 816.84/x
3. Step 3: Cross multiply
   1,406.25x = 1,940.67 × 816.84
4. Step 4: Simplify right side
   1,406.25x = 1,585,216.88
5. Step 5: Solve for x
   x = 1,585,216.88/1,406.25
6. Step 6: Final answer
   x = 1,127.27