Finding the Fourth Proportional to 31,422.88, 47,142 and 10,646.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31,422.88 : 47,142 = 10,646.56 : x
2. Step 2: Convert to fraction form
   31,422.88/47,142 = 10,646.56/x
3. Step 3: Cross multiply
   31,422.88x = 47,142 × 10,646.56
4. Step 4: Simplify right side
   31,422.88x = 501,900,131.52
5. Step 5: Solve for x
   x = 501,900,131.52/31,422.88
6. Step 6: Final answer
   x = 15,972.44