Finding the Fourth Proportional to 105,828.50, 158,742.76 and 31,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,828.50 : 158,742.76 = 31,956.50 : x
2. Step 2: Convert to fraction form
   105,828.50/158,742.76 = 31,956.50/x
3. Step 3: Cross multiply
   105,828.50x = 158,742.76 × 31,956.50
4. Step 4: Simplify right side
   105,828.50x = 5,072,863,009.94
5. Step 5: Solve for x
   x = 5,072,863,009.94/105,828.50
6. Step 6: Final answer
   x = 47,934.75