Finding the Fourth Proportional to 31,894.64, 47,822.72 and 12,174.64

Step by Step Solution

1. Step 1: Write the proportion equation
   31,894.64 : 47,822.72 = 12,174.64 : x
2. Step 2: Convert to fraction form
   31,894.64/47,822.72 = 12,174.64/x
3. Step 3: Cross multiply
   31,894.64x = 47,822.72 × 12,174.64
4. Step 4: Simplify right side
   31,894.64x = 582,224,399.82
5. Step 5: Solve for x
   x = 582,224,399.82/31,894.64
6. Step 6: Final answer
   x = 18,254.62