Finding the Fourth Proportional to 31,865.58, 47,788.14 and 10,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,865.58 : 47,788.14 = 10,513.50 : x
2. Step 2: Convert to fraction form
   31,865.58/47,788.14 = 10,513.50/x
3. Step 3: Cross multiply
   31,865.58x = 47,788.14 × 10,513.50
4. Step 4: Simplify right side
   31,865.58x = 502,420,609.89
5. Step 5: Solve for x
   x = 502,420,609.89/31,865.58
6. Step 6: Final answer
   x = 15,766.87