Finding the Fourth Proportional to 1,151.38, 1,726.35 and 766.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.38 : 1,726.35 = 766.18 : x
2. Step 2: Convert to fraction form
   1,151.38/1,726.35 = 766.18/x
3. Step 3: Cross multiply
   1,151.38x = 1,726.35 × 766.18
4. Step 4: Simplify right side
   1,151.38x = 1,322,694.84
5. Step 5: Solve for x
   x = 1,322,694.84/1,151.38
6. Step 6: Final answer
   x = 1,148.79