Finding the Fourth Proportional to 1,365.50, 1,884.24 and 776.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.50 : 1,884.24 = 776.04 : x
2. Step 2: Convert to fraction form
   1,365.50/1,884.24 = 776.04/x
3. Step 3: Cross multiply
   1,365.50x = 1,884.24 × 776.04
4. Step 4: Simplify right side
   1,365.50x = 1,462,245.61
5. Step 5: Solve for x
   x = 1,462,245.61/1,365.50
6. Step 6: Final answer
   x = 1,070.85