Finding the Fourth Proportional to 105,289.50, 157,961.61 and 31,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,289.50 : 157,961.61 = 31,417.50 : x
2. Step 2: Convert to fraction form
   105,289.50/157,961.61 = 31,417.50/x
3. Step 3: Cross multiply
   105,289.50x = 157,961.61 × 31,417.50
4. Step 4: Simplify right side
   105,289.50x = 4,962,758,882.18
5. Step 5: Solve for x
   x = 4,962,758,882.18/105,289.50
6. Step 6: Final answer
   x = 47,134.41