Finding the Fourth Proportional to 1,298.06, 1,791.32 and 708.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.06 : 1,791.32 = 708.59 : x
2. Step 2: Convert to fraction form
   1,298.06/1,791.32 = 708.59/x
3. Step 3: Cross multiply
   1,298.06x = 1,791.32 × 708.59
4. Step 4: Simplify right side
   1,298.06x = 1,269,307.90
5. Step 5: Solve for x
   x = 1,269,307.90/1,298.06
6. Step 6: Final answer
   x = 977.85