Finding the Fourth Proportional to 109.83, 151.56 and 83.64

Step by Step Solution

1. Step 1: Write the proportion equation
   109.83 : 151.56 = 83.64 : x
2. Step 2: Convert to fraction form
   109.83/151.56 = 83.64/x
3. Step 3: Cross multiply
   109.83x = 151.56 × 83.64
4. Step 4: Simplify right side
   109.83x = 12,676.48
5. Step 5: Solve for x
   x = 12,676.48/109.83
6. Step 6: Final answer
   x = 115.42