Finding the Fourth Proportional to 1,298.24, 1,791.54 and 708.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.24 : 1,791.54 = 708.76 : x
2. Step 2: Convert to fraction form
   1,298.24/1,791.54 = 708.76/x
3. Step 3: Cross multiply
   1,298.24x = 1,791.54 × 708.76
4. Step 4: Simplify right side
   1,298.24x = 1,269,771.89
5. Step 5: Solve for x
   x = 1,269,771.89/1,298.24
6. Step 6: Final answer
   x = 978.07