Finding the Fourth Proportional to 105,705, 158,557.50 and 31,833

Step by Step Solution

1. Step 1: Write the proportion equation
   105,705 : 158,557.50 = 31,833 : x
2. Step 2: Convert to fraction form
   105,705/158,557.50 = 31,833/x
3. Step 3: Cross multiply
   105,705x = 158,557.50 × 31,833
4. Step 4: Simplify right side
   105,705x = 5,047,360,897.50
5. Step 5: Solve for x
   x = 5,047,360,897.50/105,705
6. Step 6: Final answer
   x = 47,749.50