Finding the Fourth Proportional to 105,478.50, 158,243.67 and 31,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,478.50 : 158,243.67 = 31,606.50 : x
2. Step 2: Convert to fraction form
   105,478.50/158,243.67 = 31,606.50/x
3. Step 3: Cross multiply
   105,478.50x = 158,243.67 × 31,606.50
4. Step 4: Simplify right side
   105,478.50x = 5,001,528,555.86
5. Step 5: Solve for x
   x = 5,001,528,555.86/105,478.50
6. Step 6: Final answer
   x = 47,417.52