Finding the Fourth Proportional to 14,946.96, 20,636.72 and 9,290.14

Step by Step Solution

1. Step 1: Write the proportion equation
   14,946.96 : 20,636.72 = 9,290.14 : x
2. Step 2: Convert to fraction form
   14,946.96/20,636.72 = 9,290.14/x
3. Step 3: Cross multiply
   14,946.96x = 20,636.72 × 9,290.14
4. Step 4: Simplify right side
   14,946.96x = 191,718,017.94
5. Step 5: Solve for x
   x = 191,718,017.94/14,946.96
6. Step 6: Final answer
   x = 12,826.56