Finding the Fourth Proportional to 1,365.32, 1,884.07 and 776.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.32 : 1,884.07 = 776.05 : x
2. Step 2: Convert to fraction form
   1,365.32/1,884.07 = 776.05/x
3. Step 3: Cross multiply
   1,365.32x = 1,884.07 × 776.05
4. Step 4: Simplify right side
   1,365.32x = 1,462,132.52
5. Step 5: Solve for x
   x = 1,462,132.52/1,365.32
6. Step 6: Final answer
   x = 1,070.91