Finding the Fourth Proportional to 105,738, 158,607.12 and 31,866

Step by Step Solution

1. Step 1: Write the proportion equation
   105,738 : 158,607.12 = 31,866 : x
2. Step 2: Convert to fraction form
   105,738/158,607.12 = 31,866/x
3. Step 3: Cross multiply
   105,738x = 158,607.12 × 31,866
4. Step 4: Simplify right side
   105,738x = 5,054,174,485.92
5. Step 5: Solve for x
   x = 5,054,174,485.92/105,738
6. Step 6: Final answer
   x = 47,799.04