Finding the Fourth Proportional to 1,406.48, 1,940.90 and 816.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.48 : 1,940.90 = 816.98 : x
2. Step 2: Convert to fraction form
   1,406.48/1,940.90 = 816.98/x
3. Step 3: Cross multiply
   1,406.48x = 1,940.90 × 816.98
4. Step 4: Simplify right side
   1,406.48x = 1,585,662.69
5. Step 5: Solve for x
   x = 1,585,662.69/1,406.48
6. Step 6: Final answer
   x = 1,127.40