Finding the Fourth Proportional to 1,406.16, 1,940.46 and 776.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.16 : 1,940.46 = 776.70 : x
2. Step 2: Convert to fraction form
   1,406.16/1,940.46 = 776.70/x
3. Step 3: Cross multiply
   1,406.16x = 1,940.46 × 776.70
4. Step 4: Simplify right side
   1,406.16x = 1,507,155.28
5. Step 5: Solve for x
   x = 1,507,155.28/1,406.16
6. Step 6: Final answer
   x = 1,071.82