Finding the Fourth Proportional to 1,298.69, 1,792.20 and 709.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.69 : 1,792.20 = 709.23 : x
2. Step 2: Convert to fraction form
   1,298.69/1,792.20 = 709.23/x
3. Step 3: Cross multiply
   1,298.69x = 1,792.20 × 709.23
4. Step 4: Simplify right side
   1,298.69x = 1,271,082.01
5. Step 5: Solve for x
   x = 1,271,082.01/1,298.69
6. Step 6: Final answer
   x = 978.74