Finding the Fourth Proportional to 9,685.18, 13,359.99 and 6,142.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.18 : 13,359.99 = 6,142.30 : x
2. Step 2: Convert to fraction form
   9,685.18/13,359.99 = 6,142.30/x
3. Step 3: Cross multiply
   9,685.18x = 13,359.99 × 6,142.30
4. Step 4: Simplify right side
   9,685.18x = 82,061,066.58
5. Step 5: Solve for x
   x = 82,061,066.58/9,685.18
6. Step 6: Final answer
   x = 8,472.85