Finding the Fourth Proportional to 105,920.64, 146,222.16 and 83,186.78

Step by Step Solution

1. Step 1: Write the proportion equation
   105,920.64 : 146,222.16 = 83,186.78 : x
2. Step 2: Convert to fraction form
   105,920.64/146,222.16 = 83,186.78/x
3. Step 3: Cross multiply
   105,920.64x = 146,222.16 × 83,186.78
4. Step 4: Simplify right side
   105,920.64x = 12,163,749,923.93
5. Step 5: Solve for x
   x = 12,163,749,923.93/105,920.64
6. Step 6: Final answer
   x = 114,838.33