Finding the Fourth Proportional to 1,103.69, 1,524.72 and 869.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,103.69 : 1,524.72 = 869.20 : x
2. Step 2: Convert to fraction form
   1,103.69/1,524.72 = 869.20/x
3. Step 3: Cross multiply
   1,103.69x = 1,524.72 × 869.20
4. Step 4: Simplify right side
   1,103.69x = 1,325,286.07
5. Step 5: Solve for x
   x = 1,325,286.07/1,103.69
6. Step 6: Final answer
   x = 1,200.77