Finding the Fourth Proportional to 31,836.56, 47,768.64 and 12,120.72

Step by Step Solution

1. Step 1: Write the proportion equation
   31,836.56 : 47,768.64 = 12,120.72 : x
2. Step 2: Convert to fraction form
   31,836.56/47,768.64 = 12,120.72/x
3. Step 3: Cross multiply
   31,836.56x = 47,768.64 × 12,120.72
4. Step 4: Simplify right side
   31,836.56x = 578,990,310.22
5. Step 5: Solve for x
   x = 578,990,310.22/31,836.56
6. Step 6: Final answer
   x = 18,186.33