Finding the Fourth Proportional to 152.69, 210.71 and 83.69

Step by Step Solution

1. Step 1: Write the proportion equation
   152.69 : 210.71 = 83.69 : x
2. Step 2: Convert to fraction form
   152.69/210.71 = 83.69/x
3. Step 3: Cross multiply
   152.69x = 210.71 × 83.69
4. Step 4: Simplify right side
   152.69x = 17,634.32
5. Step 5: Solve for x
   x = 17,634.32/152.69
6. Step 6: Final answer
   x = 115.49