Finding the Fourth Proportional to 1,365.78, 1,884.72 and 776.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.78 : 1,884.72 = 776.34 : x
2. Step 2: Convert to fraction form
   1,365.78/1,884.72 = 776.34/x
3. Step 3: Cross multiply
   1,365.78x = 1,884.72 × 776.34
4. Step 4: Simplify right side
   1,365.78x = 1,463,183.52
5. Step 5: Solve for x
   x = 1,463,183.52/1,365.78
6. Step 6: Final answer
   x = 1,071.32