Finding the Fourth Proportional to 105,409, 158,113.50 and 31,537

Step by Step Solution

1. Step 1: Write the proportion equation
   105,409 : 158,113.50 = 31,537 : x
2. Step 2: Convert to fraction form
   105,409/158,113.50 = 31,537/x
3. Step 3: Cross multiply
   105,409x = 158,113.50 × 31,537
4. Step 4: Simplify right side
   105,409x = 4,986,425,449.50
5. Step 5: Solve for x
   x = 4,986,425,449.50/105,409
6. Step 6: Final answer
   x = 47,305.50