Finding the Fourth Proportional to 105,291, 157,963.86 and 31,419

Step by Step Solution

1. Step 1: Write the proportion equation
   105,291 : 157,963.86 = 31,419 : x
2. Step 2: Convert to fraction form
   105,291/157,963.86 = 31,419/x
3. Step 3: Cross multiply
   105,291x = 157,963.86 × 31,419
4. Step 4: Simplify right side
   105,291x = 4,963,066,517.34
5. Step 5: Solve for x
   x = 4,963,066,517.34/105,291
6. Step 6: Final answer
   x = 47,136.66