Finding the Fourth Proportional to 1,365.15, 1,884.33 and 776.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.15 : 1,884.33 = 776.07 : x
2. Step 2: Convert to fraction form
   1,365.15/1,884.33 = 776.07/x
3. Step 3: Cross multiply
   1,365.15x = 1,884.33 × 776.07
4. Step 4: Simplify right side
   1,365.15x = 1,462,371.98
5. Step 5: Solve for x
   x = 1,462,371.98/1,365.15
6. Step 6: Final answer
   x = 1,071.22