Finding the Fourth Proportional to 1,365.22, 1,884.05 and 767.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.22 : 1,884.05 = 767.80 : x
2. Step 2: Convert to fraction form
   1,365.22/1,884.05 = 767.80/x
3. Step 3: Cross multiply
   1,365.22x = 1,884.05 × 767.80
4. Step 4: Simplify right side
   1,365.22x = 1,446,573.59
5. Step 5: Solve for x
   x = 1,446,573.59/1,365.22
6. Step 6: Final answer
   x = 1,059.59