Finding the Fourth Proportional to 1,033.89, 1,426.37 and 765.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.89 : 1,426.37 = 765.35 : x
2. Step 2: Convert to fraction form
   1,033.89/1,426.37 = 765.35/x
3. Step 3: Cross multiply
   1,033.89x = 1,426.37 × 765.35
4. Step 4: Simplify right side
   1,033.89x = 1,091,665.63
5. Step 5: Solve for x
   x = 1,091,665.63/1,033.89
6. Step 6: Final answer
   x = 1,055.88