Finding the Fourth Proportional to 119.31, 164.72 and 114.15

Step by Step Solution

1. Step 1: Write the proportion equation
   119.31 : 164.72 = 114.15 : x
2. Step 2: Convert to fraction form
   119.31/164.72 = 114.15/x
3. Step 3: Cross multiply
   119.31x = 164.72 × 114.15
4. Step 4: Simplify right side
   119.31x = 18,802.22
5. Step 5: Solve for x
   x = 18,802.22/119.31
6. Step 6: Final answer
   x = 157.59