Finding the Fourth Proportional to 105,876, 158,814 and 32,004

Step by Step Solution

1. Step 1: Write the proportion equation
   105,876 : 158,814 = 32,004 : x
2. Step 2: Convert to fraction form
   105,876/158,814 = 32,004/x
3. Step 3: Cross multiply
   105,876x = 158,814 × 32,004
4. Step 4: Simplify right side
   105,876x = 5,082,683,256
5. Step 5: Solve for x
   x = 5,082,683,256/105,876
6. Step 6: Final answer
   x = 48,006