Finding the Fourth Proportional to 105,291.50, 157,964.61 and 31,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,291.50 : 157,964.61 = 31,419.50 : x
2. Step 2: Convert to fraction form
   105,291.50/157,964.61 = 31,419.50/x
3. Step 3: Cross multiply
   105,291.50x = 157,964.61 × 31,419.50
4. Step 4: Simplify right side
   105,291.50x = 4,963,169,063.90
5. Step 5: Solve for x
   x = 4,963,169,063.90/105,291.50
6. Step 6: Final answer
   x = 47,137.41