Finding the Fourth Proportional to 282.48, 423.77 and 99.82

Step by Step Solution

1. Step 1: Write the proportion equation
   282.48 : 423.77 = 99.82 : x
2. Step 2: Convert to fraction form
   282.48/423.77 = 99.82/x
3. Step 3: Cross multiply
   282.48x = 423.77 × 99.82
4. Step 4: Simplify right side
   282.48x = 42,300.72
5. Step 5: Solve for x
   x = 42,300.72/282.48
6. Step 6: Final answer
   x = 149.75