Finding the Fourth Proportional to 783.58, 1,078.59 and 709.77

Step by Step Solution

1. Step 1: Write the proportion equation
   783.58 : 1,078.59 = 709.77 : x
2. Step 2: Convert to fraction form
   783.58/1,078.59 = 709.77/x
3. Step 3: Cross multiply
   783.58x = 1,078.59 × 709.77
4. Step 4: Simplify right side
   783.58x = 765,545.43
5. Step 5: Solve for x
   x = 765,545.43/783.58
6. Step 6: Final answer
   x = 976.99