Finding the Fourth Proportional to 105,791, 158,692.98 and 31,919

Step by Step Solution

1. Step 1: Write the proportion equation
   105,791 : 158,692.98 = 31,919 : x
2. Step 2: Convert to fraction form
   105,791/158,692.98 = 31,919/x
3. Step 3: Cross multiply
   105,791x = 158,692.98 × 31,919
4. Step 4: Simplify right side
   105,791x = 5,065,321,228.62
5. Step 5: Solve for x
   x = 5,065,321,228.62/105,791
6. Step 6: Final answer
   x = 47,880.46