Finding the Fourth Proportional to 105,699, 158,548.50 and 31,827

Step by Step Solution

1. Step 1: Write the proportion equation
   105,699 : 158,548.50 = 31,827 : x
2. Step 2: Convert to fraction form
   105,699/158,548.50 = 31,827/x
3. Step 3: Cross multiply
   105,699x = 158,548.50 × 31,827
4. Step 4: Simplify right side
   105,699x = 5,046,123,109.50
5. Step 5: Solve for x
   x = 5,046,123,109.50/105,699
6. Step 6: Final answer
   x = 47,740.50