Finding the Fourth Proportional to 1,298.65, 1,792.18 and 709.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.65 : 1,792.18 = 709.23 : x
2. Step 2: Convert to fraction form
   1,298.65/1,792.18 = 709.23/x
3. Step 3: Cross multiply
   1,298.65x = 1,792.18 × 709.23
4. Step 4: Simplify right side
   1,298.65x = 1,271,055.31
5. Step 5: Solve for x
   x = 1,271,055.31/1,298.65
6. Step 6: Final answer
   x = 978.76