Finding the Fourth Proportional to 1,298.73, 1,792.27 and 709.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.73 : 1,792.27 = 709.26 : x
2. Step 2: Convert to fraction form
   1,298.73/1,792.27 = 709.26/x
3. Step 3: Cross multiply
   1,298.73x = 1,792.27 × 709.26
4. Step 4: Simplify right side
   1,298.73x = 1,271,179.59
5. Step 5: Solve for x
   x = 1,271,179.59/1,298.73
6. Step 6: Final answer
   x = 978.78