Finding the Fourth Proportional to 1,426.06, 2,137.81 and 768.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.06 : 2,137.81 = 768.29 : x
2. Step 2: Convert to fraction form
   1,426.06/2,137.81 = 768.29/x
3. Step 3: Cross multiply
   1,426.06x = 2,137.81 × 768.29
4. Step 4: Simplify right side
   1,426.06x = 1,642,458.04
5. Step 5: Solve for x
   x = 1,642,458.04/1,426.06
6. Step 6: Final answer
   x = 1,151.75