Finding the Fourth Proportional to 107.13, 147.72 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   107.13 : 147.72 = 83.82 : x
2. Step 2: Convert to fraction form
   107.13/147.72 = 83.82/x
3. Step 3: Cross multiply
   107.13x = 147.72 × 83.82
4. Step 4: Simplify right side
   107.13x = 12,381.89
5. Step 5: Solve for x
   x = 12,381.89/107.13
6. Step 6: Final answer
   x = 115.58