Finding the Fourth Proportional to 1,365.36, 1,884.23 and 767.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.36 : 1,884.23 = 767.91 : x
2. Step 2: Convert to fraction form
   1,365.36/1,884.23 = 767.91/x
3. Step 3: Cross multiply
   1,365.36x = 1,884.23 × 767.91
4. Step 4: Simplify right side
   1,365.36x = 1,446,925.17
5. Step 5: Solve for x
   x = 1,446,925.17/1,365.36
6. Step 6: Final answer
   x = 1,059.74