Finding the Fourth Proportional to 1,178.35, 1,768.20 and 447.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.35 : 1,768.20 = 447.82 : x
2. Step 2: Convert to fraction form
   1,178.35/1,768.20 = 447.82/x
3. Step 3: Cross multiply
   1,178.35x = 1,768.20 × 447.82
4. Step 4: Simplify right side
   1,178.35x = 791,835.32
5. Step 5: Solve for x
   x = 791,835.32/1,178.35
6. Step 6: Final answer
   x = 671.99