Finding the Fourth Proportional to 1,058.72, 1,587.92 and 510.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.72 : 1,587.92 = 510.76 : x
2. Step 2: Convert to fraction form
   1,058.72/1,587.92 = 510.76/x
3. Step 3: Cross multiply
   1,058.72x = 1,587.92 × 510.76
4. Step 4: Simplify right side
   1,058.72x = 811,046.02
5. Step 5: Solve for x
   x = 811,046.02/1,058.72
6. Step 6: Final answer
   x = 766.06