Finding the Fourth Proportional to 1,298.53, 1,791.98 and 709.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 1,791.98 = 709.08 : x
2. Step 2: Convert to fraction form
   1,298.53/1,791.98 = 709.08/x
3. Step 3: Cross multiply
   1,298.53x = 1,791.98 × 709.08
4. Step 4: Simplify right side
   1,298.53x = 1,270,650.93
5. Step 5: Solve for x
   x = 1,270,650.93/1,298.53
6. Step 6: Final answer
   x = 978.53