Finding the Fourth Proportional to 47,378, 71,078.52 and 14,546

Step by Step Solution

1. Step 1: Write the proportion equation
   47,378 : 71,078.52 = 14,546 : x
2. Step 2: Convert to fraction form
   47,378/71,078.52 = 14,546/x
3. Step 3: Cross multiply
   47,378x = 71,078.52 × 14,546
4. Step 4: Simplify right side
   47,378x = 1,033,908,151.92
5. Step 5: Solve for x
   x = 1,033,908,151.92/47,378
6. Step 6: Final answer
   x = 21,822.54