Finding the Fourth Proportional to 35.89, 53.82 and 34.09

Step by Step Solution

1. Step 1: Write the proportion equation
   35.89 : 53.82 = 34.09 : x
2. Step 2: Convert to fraction form
   35.89/53.82 = 34.09/x
3. Step 3: Cross multiply
   35.89x = 53.82 × 34.09
4. Step 4: Simplify right side
   35.89x = 1,834.72
5. Step 5: Solve for x
   x = 1,834.72/35.89
6. Step 6: Final answer
   x = 51.12