Finding the Fourth Proportional to 109.58, 164.18 and 82.53

Step by Step Solution

1. Step 1: Write the proportion equation
   109.58 : 164.18 = 82.53 : x
2. Step 2: Convert to fraction form
   109.58/164.18 = 82.53/x
3. Step 3: Cross multiply
   109.58x = 164.18 × 82.53
4. Step 4: Simplify right side
   109.58x = 13,549.98
5. Step 5: Solve for x
   x = 13,549.98/109.58
6. Step 6: Final answer
   x = 123.66