Finding the Fourth Proportional to 82.25, 123.33 and 46.16

Step by Step Solution

1. Step 1: Write the proportion equation
   82.25 : 123.33 = 46.16 : x
2. Step 2: Convert to fraction form
   82.25/123.33 = 46.16/x
3. Step 3: Cross multiply
   82.25x = 123.33 × 46.16
4. Step 4: Simplify right side
   82.25x = 5,692.91
5. Step 5: Solve for x
   x = 5,692.91/82.25
6. Step 6: Final answer
   x = 69.21