Finding the Fourth Proportional to 109,838.10, 164,627.55 and 82,103.70

Step by Step Solution

1. Step 1: Write the proportion equation
   109,838.10 : 164,627.55 = 82,103.70 : x
2. Step 2: Convert to fraction form
   109,838.10/164,627.55 = 82,103.70/x
3. Step 3: Cross multiply
   109,838.10x = 164,627.55 × 82,103.70
4. Step 4: Simplify right side
   109,838.10x = 13,516,530,976.94
5. Step 5: Solve for x
   x = 13,516,530,976.94/109,838.10
6. Step 6: Final answer
   x = 123,058.67