Finding the Fourth Proportional to 31,196.13, 46,790.74 and 7,822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31,196.13 : 46,790.74 = 7,822.56 : x
2. Step 2: Convert to fraction form
   31,196.13/46,790.74 = 7,822.56/x
3. Step 3: Cross multiply
   31,196.13x = 46,790.74 × 7,822.56
4. Step 4: Simplify right side
   31,196.13x = 366,023,371.09
5. Step 5: Solve for x
   x = 366,023,371.09/31,196.13
6. Step 6: Final answer
   x = 11,732.97