Finding the Fourth Proportional to 20,978.48, 31,447.67 and 7,827.32

Step by Step Solution

1. Step 1: Write the proportion equation
   20,978.48 : 31,447.67 = 7,827.32 : x
2. Step 2: Convert to fraction form
   20,978.48/31,447.67 = 7,827.32/x
3. Step 3: Cross multiply
   20,978.48x = 31,447.67 × 7,827.32
4. Step 4: Simplify right side
   20,978.48x = 246,150,779.97
5. Step 5: Solve for x
   x = 246,150,779.97/20,978.48
6. Step 6: Final answer
   x = 11,733.49