Finding the Fourth Proportional to 1,406.22, 1,940.56 and 816.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.22 : 1,940.56 = 816.76 : x
2. Step 2: Convert to fraction form
   1,406.22/1,940.56 = 816.76/x
3. Step 3: Cross multiply
   1,406.22x = 1,940.56 × 816.76
4. Step 4: Simplify right side
   1,406.22x = 1,584,971.79
5. Step 5: Solve for x
   x = 1,584,971.79/1,406.22
6. Step 6: Final answer
   x = 1,127.12