Finding the Fourth Proportional to 1,019.69, 1,526.34 and 726.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.69 : 1,526.34 = 726.27 : x
2. Step 2: Convert to fraction form
   1,019.69/1,526.34 = 726.27/x
3. Step 3: Cross multiply
   1,019.69x = 1,526.34 × 726.27
4. Step 4: Simplify right side
   1,019.69x = 1,108,531.95
5. Step 5: Solve for x
   x = 1,108,531.95/1,019.69
6. Step 6: Final answer
   x = 1,087.13