Finding the Fourth Proportional to 1,365.58, 1,884.92 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.58 : 1,884.92 = 776.50 : x
2. Step 2: Convert to fraction form
   1,365.58/1,884.92 = 776.50/x
3. Step 3: Cross multiply
   1,365.58x = 1,884.92 × 776.50
4. Step 4: Simplify right side
   1,365.58x = 1,463,640.38
5. Step 5: Solve for x
   x = 1,463,640.38/1,365.58
6. Step 6: Final answer
   x = 1,071.81