Finding the Fourth Proportional to 71.34, 106.93 and 38.82

Step by Step Solution

1. Step 1: Write the proportion equation
   71.34 : 106.93 = 38.82 : x
2. Step 2: Convert to fraction form
   71.34/106.93 = 38.82/x
3. Step 3: Cross multiply
   71.34x = 106.93 × 38.82
4. Step 4: Simplify right side
   71.34x = 4,151.02
5. Step 5: Solve for x
   x = 4,151.02/71.34
6. Step 6: Final answer
   x = 58.19