Finding the Fourth Proportional to 83.15, 114.69 and 52.05

Step by Step Solution

1. Step 1: Write the proportion equation
   83.15 : 114.69 = 52.05 : x
2. Step 2: Convert to fraction form
   83.15/114.69 = 52.05/x
3. Step 3: Cross multiply
   83.15x = 114.69 × 52.05
4. Step 4: Simplify right side
   83.15x = 5,969.61
5. Step 5: Solve for x
   x = 5,969.61/83.15
6. Step 6: Final answer
   x = 71.79