Finding the Fourth Proportional to 149,833, 206,769.54 and 82,765

Step by Step Solution

1. Step 1: Write the proportion equation
   149,833 : 206,769.54 = 82,765 : x
2. Step 2: Convert to fraction form
   149,833/206,769.54 = 82,765/x
3. Step 3: Cross multiply
   149,833x = 206,769.54 × 82,765
4. Step 4: Simplify right side
   149,833x = 17,113,280,978.10
5. Step 5: Solve for x
   x = 17,113,280,978.10/149,833
6. Step 6: Final answer
   x = 114,215.70