Finding the Fourth Proportional to 82.19, 123.16 and 59.41

Step by Step Solution

1. Step 1: Write the proportion equation
   82.19 : 123.16 = 59.41 : x
2. Step 2: Convert to fraction form
   82.19/123.16 = 59.41/x
3. Step 3: Cross multiply
   82.19x = 123.16 × 59.41
4. Step 4: Simplify right side
   82.19x = 7,316.48
5. Step 5: Solve for x
   x = 7,316.48/82.19
6. Step 6: Final answer
   x = 89.02