Finding the Fourth Proportional to 1,298.77, 1,792.33 and 709.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.77 : 1,792.33 = 709.34 : x
2. Step 2: Convert to fraction form
   1,298.77/1,792.33 = 709.34/x
3. Step 3: Cross multiply
   1,298.77x = 1,792.33 × 709.34
4. Step 4: Simplify right side
   1,298.77x = 1,271,370.71
5. Step 5: Solve for x
   x = 1,271,370.71/1,298.77
6. Step 6: Final answer
   x = 978.91