Finding the Fourth Proportional to 11,746.86, 16,213.25 and 9,189.55

Step by Step Solution

1. Step 1: Write the proportion equation
   11,746.86 : 16,213.25 = 9,189.55 : x
2. Step 2: Convert to fraction form
   11,746.86/16,213.25 = 9,189.55/x
3. Step 3: Cross multiply
   11,746.86x = 16,213.25 × 9,189.55
4. Step 4: Simplify right side
   11,746.86x = 148,992,471.54
5. Step 5: Solve for x
   x = 148,992,471.54/11,746.86
6. Step 6: Final answer
   x = 12,683.60