Finding the Fourth Proportional to 1,180.86, 1,629.60 and 708.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.86 : 1,629.60 = 708.82 : x
2. Step 2: Convert to fraction form
   1,180.86/1,629.60 = 708.82/x
3. Step 3: Cross multiply
   1,180.86x = 1,629.60 × 708.82
4. Step 4: Simplify right side
   1,180.86x = 1,155,093.07
5. Step 5: Solve for x
   x = 1,155,093.07/1,180.86
6. Step 6: Final answer
   x = 978.18