Finding the Fourth Proportional to 97.59, 145.70 and 82.42

Step by Step Solution

1. Step 1: Write the proportion equation
   97.59 : 145.70 = 82.42 : x
2. Step 2: Convert to fraction form
   97.59/145.70 = 82.42/x
3. Step 3: Cross multiply
   97.59x = 145.70 × 82.42
4. Step 4: Simplify right side
   97.59x = 12,008.59
5. Step 5: Solve for x
   x = 12,008.59/97.59
6. Step 6: Final answer
   x = 123.05