Finding the Fourth Proportional to 1,058.72, 1,585.14 and 766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.72 : 1,585.14 = 766.52 : x
2. Step 2: Convert to fraction form
   1,058.72/1,585.14 = 766.52/x
3. Step 3: Cross multiply
   1,058.72x = 1,585.14 × 766.52
4. Step 4: Simplify right side
   1,058.72x = 1,215,041.51
5. Step 5: Solve for x
   x = 1,215,041.51/1,058.72
6. Step 6: Final answer
   x = 1,147.65