Finding the Fourth Proportional to 1,298.50, 1,791.88 and 709.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.50 : 1,791.88 = 709.02 : x
2. Step 2: Convert to fraction form
   1,298.50/1,791.88 = 709.02/x
3. Step 3: Cross multiply
   1,298.50x = 1,791.88 × 709.02
4. Step 4: Simplify right side
   1,298.50x = 1,270,478.76
5. Step 5: Solve for x
   x = 1,270,478.76/1,298.50
6. Step 6: Final answer
   x = 978.42