Finding the Fourth Proportional to 83.17, 114.78 and 53.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83.17 : 114.78 = 53.69 : x
2. Step 2: Convert to fraction form
   83.17/114.78 = 53.69/x
3. Step 3: Cross multiply
   83.17x = 114.78 × 53.69
4. Step 4: Simplify right side
   83.17x = 6,162.17
5. Step 5: Solve for x
   x = 6,162.17/83.17
6. Step 6: Final answer
   x = 74.09