Finding the Fourth Proportional to 105,877, 158,815.50 and 32,005

Step by Step Solution

1. Step 1: Write the proportion equation
   105,877 : 158,815.50 = 32,005 : x
2. Step 2: Convert to fraction form
   105,877/158,815.50 = 32,005/x
3. Step 3: Cross multiply
   105,877x = 158,815.50 × 32,005
4. Step 4: Simplify right side
   105,877x = 5,082,890,077.50
5. Step 5: Solve for x
   x = 5,082,890,077.50/105,877
6. Step 6: Final answer
   x = 48,007.50