Finding the Fourth Proportional to 105,786, 158,705.40 and 31,914

Step by Step Solution

1. Step 1: Write the proportion equation
   105,786 : 158,705.40 = 31,914 : x
2. Step 2: Convert to fraction form
   105,786/158,705.40 = 31,914/x
3. Step 3: Cross multiply
   105,786x = 158,705.40 × 31,914
4. Step 4: Simplify right side
   105,786x = 5,064,924,135.60
5. Step 5: Solve for x
   x = 5,064,924,135.60/105,786
6. Step 6: Final answer
   x = 47,878.96