Finding the Fourth Proportional to 42.35, 63.46 and 32.12

Step by Step Solution

1. Step 1: Write the proportion equation
   42.35 : 63.46 = 32.12 : x
2. Step 2: Convert to fraction form
   42.35/63.46 = 32.12/x
3. Step 3: Cross multiply
   42.35x = 63.46 × 32.12
4. Step 4: Simplify right side
   42.35x = 2,038.34
5. Step 5: Solve for x
   x = 2,038.34/42.35
6. Step 6: Final answer
   x = 48.13