Finding the Fourth Proportional to 1,103.80, 1,523.76 and 854.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,103.80 : 1,523.76 = 854.56 : x
2. Step 2: Convert to fraction form
   1,103.80/1,523.76 = 854.56/x
3. Step 3: Cross multiply
   1,103.80x = 1,523.76 × 854.56
4. Step 4: Simplify right side
   1,103.80x = 1,302,144.35
5. Step 5: Solve for x
   x = 1,302,144.35/1,103.80
6. Step 6: Final answer
   x = 1,179.69