Finding the Fourth Proportional to 83.69, 115.46 and 59.15

Step by Step Solution

1. Step 1: Write the proportion equation
   83.69 : 115.46 = 59.15 : x
2. Step 2: Convert to fraction form
   83.69/115.46 = 59.15/x
3. Step 3: Cross multiply
   83.69x = 115.46 × 59.15
4. Step 4: Simplify right side
   83.69x = 6,828.59
5. Step 5: Solve for x
   x = 6,828.59/83.69
6. Step 6: Final answer
   x = 81.59