Finding the Fourth Proportional to 31,361.50, 47,049.54 and 10,585

Step by Step Solution

1. Step 1: Write the proportion equation
   31,361.50 : 47,049.54 = 10,585 : x
2. Step 2: Convert to fraction form
   31,361.50/47,049.54 = 10,585/x
3. Step 3: Cross multiply
   31,361.50x = 47,049.54 × 10,585
4. Step 4: Simplify right side
   31,361.50x = 498,019,380.90
5. Step 5: Solve for x
   x = 498,019,380.90/31,361.50
6. Step 6: Final answer
   x = 15,879.96