Finding the Fourth Proportional to 1,406.28, 1,940.68 and 776.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.28 : 1,940.68 = 776.82 : x
2. Step 2: Convert to fraction form
   1,406.28/1,940.68 = 776.82/x
3. Step 3: Cross multiply
   1,406.28x = 1,940.68 × 776.82
4. Step 4: Simplify right side
   1,406.28x = 1,507,559.04
5. Step 5: Solve for x
   x = 1,507,559.04/1,406.28
6. Step 6: Final answer
   x = 1,072.02