Finding the Fourth Proportional to 31,914, 47,878.72 and 10,026

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 47,878.72 = 10,026 : x
2. Step 2: Convert to fraction form
   31,914/47,878.72 = 10,026/x
3. Step 3: Cross multiply
   31,914x = 47,878.72 × 10,026
4. Step 4: Simplify right side
   31,914x = 480,032,046.72
5. Step 5: Solve for x
   x = 480,032,046.72/31,914
6. Step 6: Final answer
   x = 15,041.43