Finding the Fourth Proportional to 31,584.42, 47,381.31 and 10,517.58

Step by Step Solution

1. Step 1: Write the proportion equation
   31,584.42 : 47,381.31 = 10,517.58 : x
2. Step 2: Convert to fraction form
   31,584.42/47,381.31 = 10,517.58/x
3. Step 3: Cross multiply
   31,584.42x = 47,381.31 × 10,517.58
4. Step 4: Simplify right side
   31,584.42x = 498,336,718.43
5. Step 5: Solve for x
   x = 498,336,718.43/31,584.42
6. Step 6: Final answer
   x = 15,777.93