Finding the Fourth Proportional to 31,728.24, 47,592.69 and 13,003.47

Step by Step Solution

1. Step 1: Write the proportion equation
   31,728.24 : 47,592.69 = 13,003.47 : x
2. Step 2: Convert to fraction form
   31,728.24/47,592.69 = 13,003.47/x
3. Step 3: Cross multiply
   31,728.24x = 47,592.69 × 13,003.47
4. Step 4: Simplify right side
   31,728.24x = 618,870,116.63
5. Step 5: Solve for x
   x = 618,870,116.63/31,728.24
6. Step 6: Final answer
   x = 19,505.34