Finding the Fourth Proportional to 1,365.94, 1,885.02 and 776.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.94 : 1,885.02 = 776.35 : x
2. Step 2: Convert to fraction form
   1,365.94/1,885.02 = 776.35/x
3. Step 3: Cross multiply
   1,365.94x = 1,885.02 × 776.35
4. Step 4: Simplify right side
   1,365.94x = 1,463,435.28
5. Step 5: Solve for x
   x = 1,463,435.28/1,365.94
6. Step 6: Final answer
   x = 1,071.38