Finding the Fourth Proportional to 105,784, 158,680.32 and 31,912

Step by Step Solution

1. Step 1: Write the proportion equation
   105,784 : 158,680.32 = 31,912 : x
2. Step 2: Convert to fraction form
   105,784/158,680.32 = 31,912/x
3. Step 3: Cross multiply
   105,784x = 158,680.32 × 31,912
4. Step 4: Simplify right side
   105,784x = 5,063,806,371.84
5. Step 5: Solve for x
   x = 5,063,806,371.84/105,784
6. Step 6: Final answer
   x = 47,869.30