Finding the Fourth Proportional to 1,058.30, 1,587.78 and 510.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.30 : 1,587.78 = 510.53 : x
2. Step 2: Convert to fraction form
   1,058.30/1,587.78 = 510.53/x
3. Step 3: Cross multiply
   1,058.30x = 1,587.78 × 510.53
4. Step 4: Simplify right side
   1,058.30x = 810,601.38
5. Step 5: Solve for x
   x = 810,601.38/1,058.30
6. Step 6: Final answer
   x = 765.95