Finding the Fourth Proportional to 1,294.83, 1,786.86 and 705.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.83 : 1,786.86 = 705.38 : x
2. Step 2: Convert to fraction form
   1,294.83/1,786.86 = 705.38/x
3. Step 3: Cross multiply
   1,294.83x = 1,786.86 × 705.38
4. Step 4: Simplify right side
   1,294.83x = 1,260,406.37
5. Step 5: Solve for x
   x = 1,260,406.37/1,294.83
6. Step 6: Final answer
   x = 973.41