Finding the Fourth Proportional to 1,365.93, 1,884.96 and 776.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.93 : 1,884.96 = 776.46 : x
2. Step 2: Convert to fraction form
   1,365.93/1,884.96 = 776.46/x
3. Step 3: Cross multiply
   1,365.93x = 1,884.96 × 776.46
4. Step 4: Simplify right side
   1,365.93x = 1,463,596.04
5. Step 5: Solve for x
   x = 1,463,596.04/1,365.93
6. Step 6: Final answer
   x = 1,071.50