Finding the Fourth Proportional to 31,538.43, 47,306.25 and 7,845.48

Step by Step Solution

1. Step 1: Write the proportion equation
   31,538.43 : 47,306.25 = 7,845.48 : x
2. Step 2: Convert to fraction form
   31,538.43/47,306.25 = 7,845.48/x
3. Step 3: Cross multiply
   31,538.43x = 47,306.25 × 7,845.48
4. Step 4: Simplify right side
   31,538.43x = 371,140,238.25
5. Step 5: Solve for x
   x = 371,140,238.25/31,538.43
6. Step 6: Final answer
   x = 11,767.87