Finding the Fourth Proportional to 1,294.58, 1,786.56 and 705.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.58 : 1,786.56 = 705.08 : x
2. Step 2: Convert to fraction form
   1,294.58/1,786.56 = 705.08/x
3. Step 3: Cross multiply
   1,294.58x = 1,786.56 × 705.08
4. Step 4: Simplify right side
   1,294.58x = 1,259,667.72
5. Step 5: Solve for x
   x = 1,259,667.72/1,294.58
6. Step 6: Final answer
   x = 973.03