Finding the Fourth Proportional to 6,096.12, 9,139.76 and 4,116.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.12 : 9,139.76 = 4,116.84 : x
2. Step 2: Convert to fraction form
   6,096.12/9,139.76 = 4,116.84/x
3. Step 3: Cross multiply
   6,096.12x = 9,139.76 × 4,116.84
4. Step 4: Simplify right side
   6,096.12x = 37,626,929.56
5. Step 5: Solve for x
   x = 37,626,929.56/6,096.12
6. Step 6: Final answer
   x = 6,172.28