Finding the Fourth Proportional to 1,365.68, 1,884.20 and 776.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.68 : 1,884.20 = 776.24 : x
2. Step 2: Convert to fraction form
   1,365.68/1,884.20 = 776.24/x
3. Step 3: Cross multiply
   1,365.68x = 1,884.20 × 776.24
4. Step 4: Simplify right side
   1,365.68x = 1,462,591.41
5. Step 5: Solve for x
   x = 1,462,591.41/1,365.68
6. Step 6: Final answer
   x = 1,070.96