Finding the Fourth Proportional to 1,365.66, 1,884.42 and 776.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.66 : 1,884.42 = 776.16 : x
2. Step 2: Convert to fraction form
   1,365.66/1,884.42 = 776.16/x
3. Step 3: Cross multiply
   1,365.66x = 1,884.42 × 776.16
4. Step 4: Simplify right side
   1,365.66x = 1,462,611.43
5. Step 5: Solve for x
   x = 1,462,611.43/1,365.66
6. Step 6: Final answer
   x = 1,070.99