Finding the Fourth Proportional to 1,365.84, 1,884.87 and 776.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.84 : 1,884.87 = 776.42 : x
2. Step 2: Convert to fraction form
   1,365.84/1,884.87 = 776.42/x
3. Step 3: Cross multiply
   1,365.84x = 1,884.87 × 776.42
4. Step 4: Simplify right side
   1,365.84x = 1,463,441.34
5. Step 5: Solve for x
   x = 1,463,441.34/1,365.84
6. Step 6: Final answer
   x = 1,071.46