Finding the Fourth Proportional to 1,738.72, 2,606.80 and 712.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.72 : 2,606.80 = 712.80 : x
2. Step 2: Convert to fraction form
   1,738.72/2,606.80 = 712.80/x
3. Step 3: Cross multiply
   1,738.72x = 2,606.80 × 712.80
4. Step 4: Simplify right side
   1,738.72x = 1,858,127.04
5. Step 5: Solve for x
   x = 1,858,127.04/1,738.72
6. Step 6: Final answer
   x = 1,068.68