Finding the Fourth Proportional to 149,906, 206,870.82 and 82,838

Step by Step Solution

1. Step 1: Write the proportion equation
   149,906 : 206,870.82 = 82,838 : x
2. Step 2: Convert to fraction form
   149,906/206,870.82 = 82,838/x
3. Step 3: Cross multiply
   149,906x = 206,870.82 × 82,838
4. Step 4: Simplify right side
   149,906x = 17,136,764,987.16
5. Step 5: Solve for x
   x = 17,136,764,987.16/149,906
6. Step 6: Final answer
   x = 114,316.74