Finding the Fourth Proportional to 1,365.48, 1,884.71 and 776.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.48 : 1,884.71 = 776.20 : x
2. Step 2: Convert to fraction form
   1,365.48/1,884.71 = 776.20/x
3. Step 3: Cross multiply
   1,365.48x = 1,884.71 × 776.20
4. Step 4: Simplify right side
   1,365.48x = 1,462,911.90
5. Step 5: Solve for x
   x = 1,462,911.90/1,365.48
6. Step 6: Final answer
   x = 1,071.35