Finding the Fourth Proportional to 82.61, 123.96 and 46.56

Step by Step Solution

1. Step 1: Write the proportion equation
   82.61 : 123.96 = 46.56 : x
2. Step 2: Convert to fraction form
   82.61/123.96 = 46.56/x
3. Step 3: Cross multiply
   82.61x = 123.96 × 46.56
4. Step 4: Simplify right side
   82.61x = 5,771.58
5. Step 5: Solve for x
   x = 5,771.58/82.61
6. Step 6: Final answer
   x = 69.87