Finding the Fourth Proportional to 31,839.34, 47,758.96 and 8,465.78

Step by Step Solution

1. Step 1: Write the proportion equation
   31,839.34 : 47,758.96 = 8,465.78 : x
2. Step 2: Convert to fraction form
   31,839.34/47,758.96 = 8,465.78/x
3. Step 3: Cross multiply
   31,839.34x = 47,758.96 × 8,465.78
4. Step 4: Simplify right side
   31,839.34x = 404,316,848.39
5. Step 5: Solve for x
   x = 404,316,848.39/31,839.34
6. Step 6: Final answer
   x = 12,698.66