Finding the Fourth Proportional to 71.13, 106.69 and 49.89

Step by Step Solution

1. Step 1: Write the proportion equation
   71.13 : 106.69 = 49.89 : x
2. Step 2: Convert to fraction form
   71.13/106.69 = 49.89/x
3. Step 3: Cross multiply
   71.13x = 106.69 × 49.89
4. Step 4: Simplify right side
   71.13x = 5,322.76
5. Step 5: Solve for x
   x = 5,322.76/71.13
6. Step 6: Final answer
   x = 74.83