Finding the Fourth Proportional to 1,406.35, 1,940.71 and 776.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.35 : 1,940.71 = 776.87 : x
2. Step 2: Convert to fraction form
   1,406.35/1,940.71 = 776.87/x
3. Step 3: Cross multiply
   1,406.35x = 1,940.71 × 776.87
4. Step 4: Simplify right side
   1,406.35x = 1,507,679.38
5. Step 5: Solve for x
   x = 1,507,679.38/1,406.35
6. Step 6: Final answer
   x = 1,072.05