Finding the Fourth Proportional to 31,846, 47,789.52 and 13,378

Step by Step Solution

1. Step 1: Write the proportion equation
   31,846 : 47,789.52 = 13,378 : x
2. Step 2: Convert to fraction form
   31,846/47,789.52 = 13,378/x
3. Step 3: Cross multiply
   31,846x = 47,789.52 × 13,378
4. Step 4: Simplify right side
   31,846x = 639,328,198.56
5. Step 5: Solve for x
   x = 639,328,198.56/31,846
6. Step 6: Final answer
   x = 20,075.62