Finding the Fourth Proportional to 156.82, 233.89 and 137.69

Step by Step Solution

1. Step 1: Write the proportion equation
   156.82 : 233.89 = 137.69 : x
2. Step 2: Convert to fraction form
   156.82/233.89 = 137.69/x
3. Step 3: Cross multiply
   156.82x = 233.89 × 137.69
4. Step 4: Simplify right side
   156.82x = 32,203.14
5. Step 5: Solve for x
   x = 32,203.14/156.82
6. Step 6: Final answer
   x = 205.35