Finding the Fourth Proportional to 1,298.71, 1,792.14 and 709.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.71 : 1,792.14 = 709.23 : x
2. Step 2: Convert to fraction form
   1,298.71/1,792.14 = 709.23/x
3. Step 3: Cross multiply
   1,298.71x = 1,792.14 × 709.23
4. Step 4: Simplify right side
   1,298.71x = 1,271,039.45
5. Step 5: Solve for x
   x = 1,271,039.45/1,298.71
6. Step 6: Final answer
   x = 978.69