Finding the Fourth Proportional to 1,058.89, 1,587.93 and 765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.89 : 1,587.93 = 765.50 : x
2. Step 2: Convert to fraction form
   1,058.89/1,587.93 = 765.50/x
3. Step 3: Cross multiply
   1,058.89x = 1,587.93 × 765.50
4. Step 4: Simplify right side
   1,058.89x = 1,215,558.54
5. Step 5: Solve for x
   x = 1,215,558.54/1,058.89
6. Step 6: Final answer
   x = 1,147.96