Finding the Fourth Proportional to 1,365.69, 1,884.62 and 776.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.69 : 1,884.62 = 776.15 : x
2. Step 2: Convert to fraction form
   1,365.69/1,884.62 = 776.15/x
3. Step 3: Cross multiply
   1,365.69x = 1,884.62 × 776.15
4. Step 4: Simplify right side
   1,365.69x = 1,462,734.51
5. Step 5: Solve for x
   x = 1,462,734.51/1,365.69
6. Step 6: Final answer
   x = 1,071.06