Finding the Fourth Proportional to 1,298.80, 1,792.24 and 709.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.80 : 1,792.24 = 709.33 : x
2. Step 2: Convert to fraction form
   1,298.80/1,792.24 = 709.33/x
3. Step 3: Cross multiply
   1,298.80x = 1,792.24 × 709.33
4. Step 4: Simplify right side
   1,298.80x = 1,271,289.60
5. Step 5: Solve for x
   x = 1,271,289.60/1,298.80
6. Step 6: Final answer
   x = 978.82