Finding the Fourth Proportional to 42.66, 58.95 and 35.82

Step by Step Solution

1. Step 1: Write the proportion equation
   42.66 : 58.95 = 35.82 : x
2. Step 2: Convert to fraction form
   42.66/58.95 = 35.82/x
3. Step 3: Cross multiply
   42.66x = 58.95 × 35.82
4. Step 4: Simplify right side
   42.66x = 2,111.59
5. Step 5: Solve for x
   x = 2,111.59/42.66
6. Step 6: Final answer
   x = 49.50