Finding the Fourth Proportional to 31,654.45, 47,462.82 and 10,589.37

Step by Step Solution

1. Step 1: Write the proportion equation
   31,654.45 : 47,462.82 = 10,589.37 : x
2. Step 2: Convert to fraction form
   31,654.45/47,462.82 = 10,589.37/x
3. Step 3: Cross multiply
   31,654.45x = 47,462.82 × 10,589.37
4. Step 4: Simplify right side
   31,654.45x = 502,601,362.22
5. Step 5: Solve for x
   x = 502,601,362.22/31,654.45
6. Step 6: Final answer
   x = 15,877.75