Finding the Fourth Proportional to 428.32, 642.34 and 139.69

Step by Step Solution

1. Step 1: Write the proportion equation
   428.32 : 642.34 = 139.69 : x
2. Step 2: Convert to fraction form
   428.32/642.34 = 139.69/x
3. Step 3: Cross multiply
   428.32x = 642.34 × 139.69
4. Step 4: Simplify right side
   428.32x = 89,727.04
5. Step 5: Solve for x
   x = 89,727.04/428.32
6. Step 6: Final answer
   x = 209.49