Finding the Fourth Proportional to 106.76, 147.38 and 71.83

Step by Step Solution

1. Step 1: Write the proportion equation
   106.76 : 147.38 = 71.83 : x
2. Step 2: Convert to fraction form
   106.76/147.38 = 71.83/x
3. Step 3: Cross multiply
   106.76x = 147.38 × 71.83
4. Step 4: Simplify right side
   106.76x = 10,586.31
5. Step 5: Solve for x
   x = 10,586.31/106.76
6. Step 6: Final answer
   x = 99.16