Finding the Fourth Proportional to 1,103.98, 1,655.97 and 282.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,103.98 : 1,655.97 = 282.31 : x
2. Step 2: Convert to fraction form
   1,103.98/1,655.97 = 282.31/x
3. Step 3: Cross multiply
   1,103.98x = 1,655.97 × 282.31
4. Step 4: Simplify right side
   1,103.98x = 467,496.89
5. Step 5: Solve for x
   x = 467,496.89/1,103.98
6. Step 6: Final answer
   x = 423.47