Finding the Fourth Proportional to 1,354.80, 1,867.86 and 1,105.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.80 : 1,867.86 = 1,105.68 : x
2. Step 2: Convert to fraction form
   1,354.80/1,867.86 = 1,105.68/x
3. Step 3: Cross multiply
   1,354.80x = 1,867.86 × 1,105.68
4. Step 4: Simplify right side
   1,354.80x = 2,065,255.44
5. Step 5: Solve for x
   x = 2,065,255.44/1,354.80
6. Step 6: Final answer
   x = 1,524.40