Finding the Fourth Proportional to 9,783.34, 14,634.87 and 8,142.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.34 : 14,634.87 = 8,142.10 : x
2. Step 2: Convert to fraction form
   9,783.34/14,634.87 = 8,142.10/x
3. Step 3: Cross multiply
   9,783.34x = 14,634.87 × 8,142.10
4. Step 4: Simplify right side
   9,783.34x = 119,158,575.03
5. Step 5: Solve for x
   x = 119,158,575.03/9,783.34
6. Step 6: Final answer
   x = 12,179.74