Finding the Fourth Proportional to 1,058.06, 1,460.49 and 726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.06 : 1,460.49 = 726.50 : x
2. Step 2: Convert to fraction form
   1,058.06/1,460.49 = 726.50/x
3. Step 3: Cross multiply
   1,058.06x = 1,460.49 × 726.50
4. Step 4: Simplify right side
   1,058.06x = 1,061,045.99
5. Step 5: Solve for x
   x = 1,061,045.99/1,058.06
6. Step 6: Final answer
   x = 1,002.82