Finding the Fourth Proportional to 105,295, 157,969.86 and 31,423

Step by Step Solution

1. Step 1: Write the proportion equation
   105,295 : 157,969.86 = 31,423 : x
2. Step 2: Convert to fraction form
   105,295/157,969.86 = 31,423/x
3. Step 3: Cross multiply
   105,295x = 157,969.86 × 31,423
4. Step 4: Simplify right side
   105,295x = 4,963,886,910.78
5. Step 5: Solve for x
   x = 4,963,886,910.78/105,295
6. Step 6: Final answer
   x = 47,142.66