Finding the Fourth Proportional to 42.58, 64.10 and 32.56

Step by Step Solution

1. Step 1: Write the proportion equation
   42.58 : 64.10 = 32.56 : x
2. Step 2: Convert to fraction form
   42.58/64.10 = 32.56/x
3. Step 3: Cross multiply
   42.58x = 64.10 × 32.56
4. Step 4: Simplify right side
   42.58x = 2,086.93
5. Step 5: Solve for x
   x = 2,086.93/42.58
6. Step 6: Final answer
   x = 49.01