Finding the Fourth Proportional to 1,294.56, 1,786.49 and 705.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.56 : 1,786.49 = 705.09 : x
2. Step 2: Convert to fraction form
   1,294.56/1,786.49 = 705.09/x
3. Step 3: Cross multiply
   1,294.56x = 1,786.49 × 705.09
4. Step 4: Simplify right side
   1,294.56x = 1,259,632.71
5. Step 5: Solve for x
   x = 1,259,632.71/1,294.56
6. Step 6: Final answer
   x = 973.02