Finding the Fourth Proportional to 1,365.83, 1,884.87 and 776.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.83 : 1,884.87 = 776.39 : x
2. Step 2: Convert to fraction form
   1,365.83/1,884.87 = 776.39/x
3. Step 3: Cross multiply
   1,365.83x = 1,884.87 × 776.39
4. Step 4: Simplify right side
   1,365.83x = 1,463,384.79
5. Step 5: Solve for x
   x = 1,463,384.79/1,365.83
6. Step 6: Final answer
   x = 1,071.43