Finding the Fourth Proportional to 12,201.86, 18,331.98 and 7,827.86

Step by Step Solution

1. Step 1: Write the proportion equation
   12,201.86 : 18,331.98 = 7,827.86 : x
2. Step 2: Convert to fraction form
   12,201.86/18,331.98 = 7,827.86/x
3. Step 3: Cross multiply
   12,201.86x = 18,331.98 × 7,827.86
4. Step 4: Simplify right side
   12,201.86x = 143,500,172.96
5. Step 5: Solve for x
   x = 143,500,172.96/12,201.86
6. Step 6: Final answer
   x = 11,760.52