Finding the Fourth Proportional to 83.14, 114.72 and 52.00

Step by Step Solution

1. Step 1: Write the proportion equation
   83.14 : 114.72 = 52.00 : x
2. Step 2: Convert to fraction form
   83.14/114.72 = 52.00/x
3. Step 3: Cross multiply
   83.14x = 114.72 × 52.00
4. Step 4: Simplify right side
   83.14x = 5,964.96
5. Step 5: Solve for x
   x = 5,964.96/83.14
6. Step 6: Final answer
   x = 71.75