Finding the Fourth Proportional to 82.78, 123.96 and 46.53

Step by Step Solution

1. Step 1: Write the proportion equation
   82.78 : 123.96 = 46.53 : x
2. Step 2: Convert to fraction form
   82.78/123.96 = 46.53/x
3. Step 3: Cross multiply
   82.78x = 123.96 × 46.53
4. Step 4: Simplify right side
   82.78x = 5,767.86
5. Step 5: Solve for x
   x = 5,767.86/82.78
6. Step 6: Final answer
   x = 69.68