Finding the Fourth Proportional to 1,206.69, 1,665.24 and 709.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.69 : 1,665.24 = 709.34 : x
2. Step 2: Convert to fraction form
   1,206.69/1,665.24 = 709.34/x
3. Step 3: Cross multiply
   1,206.69x = 1,665.24 × 709.34
4. Step 4: Simplify right side
   1,206.69x = 1,181,213.02
5. Step 5: Solve for x
   x = 1,181,213.02/1,206.69
6. Step 6: Final answer
   x = 978.89