Finding the Fourth Proportional to 42.77, 64.00 and 31.33

Step by Step Solution

1. Step 1: Write the proportion equation
   42.77 : 64.00 = 31.33 : x
2. Step 2: Convert to fraction form
   42.77/64.00 = 31.33/x
3. Step 3: Cross multiply
   42.77x = 64.00 × 31.33
4. Step 4: Simplify right side
   42.77x = 2,004.88
5. Step 5: Solve for x
   x = 2,004.88/42.77
6. Step 6: Final answer
   x = 46.87