Finding the Fourth Proportional to 1,406.63, 1,940.81 and 816.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.63 : 1,940.81 = 816.82 : x
2. Step 2: Convert to fraction form
   1,406.63/1,940.81 = 816.82/x
3. Step 3: Cross multiply
   1,406.63x = 1,940.81 × 816.82
4. Step 4: Simplify right side
   1,406.63x = 1,585,296.27
5. Step 5: Solve for x
   x = 1,585,296.27/1,406.63
6. Step 6: Final answer
   x = 1,127.02