Finding the Fourth Proportional to 82.29, 123.31 and 43.78

Step by Step Solution

1. Step 1: Write the proportion equation
   82.29 : 123.31 = 43.78 : x
2. Step 2: Convert to fraction form
   82.29/123.31 = 43.78/x
3. Step 3: Cross multiply
   82.29x = 123.31 × 43.78
4. Step 4: Simplify right side
   82.29x = 5,398.51
5. Step 5: Solve for x
   x = 5,398.51/82.29
6. Step 6: Final answer
   x = 65.60