Finding the Fourth Proportional to 31,382.75, 47,074.52 and 9,196.58

Step by Step Solution

1. Step 1: Write the proportion equation
   31,382.75 : 47,074.52 = 9,196.58 : x
2. Step 2: Convert to fraction form
   31,382.75/47,074.52 = 9,196.58/x
3. Step 3: Cross multiply
   31,382.75x = 47,074.52 × 9,196.58
4. Step 4: Simplify right side
   31,382.75x = 432,924,660.84
5. Step 5: Solve for x
   x = 432,924,660.84/31,382.75
6. Step 6: Final answer
   x = 13,794.99