Finding the Fourth Proportional to 1,105.32, 1,524.78 and 842.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.32 : 1,524.78 = 842.88 : x
2. Step 2: Convert to fraction form
   1,105.32/1,524.78 = 842.88/x
3. Step 3: Cross multiply
   1,105.32x = 1,524.78 × 842.88
4. Step 4: Simplify right side
   1,105.32x = 1,285,206.57
5. Step 5: Solve for x
   x = 1,285,206.57/1,105.32
6. Step 6: Final answer
   x = 1,162.75