Finding the Fourth Proportional to 1,365.68, 1,884.68 and 776.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.68 : 1,884.68 = 776.16 : x
2. Step 2: Convert to fraction form
   1,365.68/1,884.68 = 776.16/x
3. Step 3: Cross multiply
   1,365.68x = 1,884.68 × 776.16
4. Step 4: Simplify right side
   1,365.68x = 1,462,813.23
5. Step 5: Solve for x
   x = 1,462,813.23/1,365.68
6. Step 6: Final answer
   x = 1,071.12