Finding the Fourth Proportional to 31,685.39, 47,538.61 and 10,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,685.39 : 47,538.61 = 10,627.50 : x
2. Step 2: Convert to fraction form
   31,685.39/47,538.61 = 10,627.50/x
3. Step 3: Cross multiply
   31,685.39x = 47,538.61 × 10,627.50
4. Step 4: Simplify right side
   31,685.39x = 505,216,577.78
5. Step 5: Solve for x
   x = 505,216,577.78/31,685.39
6. Step 6: Final answer
   x = 15,944.78