Finding the Fourth Proportional to 31,633.74, 47,456.69 and 10,580.42

Step by Step Solution

1. Step 1: Write the proportion equation
   31,633.74 : 47,456.69 = 10,580.42 : x
2. Step 2: Convert to fraction form
   31,633.74/47,456.69 = 10,580.42/x
3. Step 3: Cross multiply
   31,633.74x = 47,456.69 × 10,580.42
4. Step 4: Simplify right side
   31,633.74x = 502,111,777.75
5. Step 5: Solve for x
   x = 502,111,777.75/31,633.74
6. Step 6: Final answer
   x = 15,872.67