Finding the Fourth Proportional to 9,784.34, 14,636.37 and 8,143.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.34 : 14,636.37 = 8,143.10 : x
2. Step 2: Convert to fraction form
   9,784.34/14,636.37 = 8,143.10/x
3. Step 3: Cross multiply
   9,784.34x = 14,636.37 × 8,143.10
4. Step 4: Simplify right side
   9,784.34x = 119,185,424.55
5. Step 5: Solve for x
   x = 119,185,424.55/9,784.34
6. Step 6: Final answer
   x = 12,181.24