Finding the Fourth Proportional to 1,406.38, 1,940.76 and 776.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.38 : 1,940.76 = 776.87 : x
2. Step 2: Convert to fraction form
   1,406.38/1,940.76 = 776.87/x
3. Step 3: Cross multiply
   1,406.38x = 1,940.76 × 776.87
4. Step 4: Simplify right side
   1,406.38x = 1,507,718.22
5. Step 5: Solve for x
   x = 1,507,718.22/1,406.38
6. Step 6: Final answer
   x = 1,072.06