Finding the Fourth Proportional to 9,870, 13,618.74 and 6,096.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,870 : 13,618.74 = 6,096.42 : x
2. Step 2: Convert to fraction form
   9,870/13,618.74 = 6,096.42/x
3. Step 3: Cross multiply
   9,870x = 13,618.74 × 6,096.42
4. Step 4: Simplify right side
   9,870x = 83,025,558.91
5. Step 5: Solve for x
   x = 83,025,558.91/9,870
6. Step 6: Final answer
   x = 8,411.91