Finding the Fourth Proportional to 109,835.10, 164,623.05 and 82,100.70

Step by Step Solution

1. Step 1: Write the proportion equation
   109,835.10 : 164,623.05 = 82,100.70 : x
2. Step 2: Convert to fraction form
   109,835.10/164,623.05 = 82,100.70/x
3. Step 3: Cross multiply
   109,835.10x = 164,623.05 × 82,100.70
4. Step 4: Simplify right side
   109,835.10x = 13,515,667,641.14
5. Step 5: Solve for x
   x = 13,515,667,641.14/109,835.10
6. Step 6: Final answer
   x = 123,054.18