Finding the Fourth Proportional to 31,920.32, 47,866.32 and 12,185

Step by Step Solution

1. Step 1: Write the proportion equation
   31,920.32 : 47,866.32 = 12,185 : x
2. Step 2: Convert to fraction form
   31,920.32/47,866.32 = 12,185/x
3. Step 3: Cross multiply
   31,920.32x = 47,866.32 × 12,185
4. Step 4: Simplify right side
   31,920.32x = 583,251,109.20
5. Step 5: Solve for x
   x = 583,251,109.20/31,920.32
6. Step 6: Final answer
   x = 18,272.09