Finding the Fourth Proportional to 1,365.61, 1,884.57 and 776.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.61 : 1,884.57 = 776.28 : x
2. Step 2: Convert to fraction form
   1,365.61/1,884.57 = 776.28/x
3. Step 3: Cross multiply
   1,365.61x = 1,884.57 × 776.28
4. Step 4: Simplify right side
   1,365.61x = 1,462,958.16
5. Step 5: Solve for x
   x = 1,462,958.16/1,365.61
6. Step 6: Final answer
   x = 1,071.29