Finding the Fourth Proportional to 105,288.50, 157,960.11 and 31,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,288.50 : 157,960.11 = 31,416.50 : x
2. Step 2: Convert to fraction form
   105,288.50/157,960.11 = 31,416.50/x
3. Step 3: Cross multiply
   105,288.50x = 157,960.11 × 31,416.50
4. Step 4: Simplify right side
   105,288.50x = 4,962,553,795.82
5. Step 5: Solve for x
   x = 4,962,553,795.82/105,288.50
6. Step 6: Final answer
   x = 47,132.91