Finding the Fourth Proportional to 1,298.54, 1,792.04 and 709.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.54 : 1,792.04 = 709.10 : x
2. Step 2: Convert to fraction form
   1,298.54/1,792.04 = 709.10/x
3. Step 3: Cross multiply
   1,298.54x = 1,792.04 × 709.10
4. Step 4: Simplify right side
   1,298.54x = 1,270,735.56
5. Step 5: Solve for x
   x = 1,270,735.56/1,298.54
6. Step 6: Final answer
   x = 978.59