Finding the Fourth Proportional to 9,483.74, 14,217.39 and 5,096.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,483.74 : 14,217.39 = 5,096.06 : x
2. Step 2: Convert to fraction form
   9,483.74/14,217.39 = 5,096.06/x
3. Step 3: Cross multiply
   9,483.74x = 14,217.39 × 5,096.06
4. Step 4: Simplify right side
   9,483.74x = 72,452,601.40
5. Step 5: Solve for x
   x = 72,452,601.40/9,483.74
6. Step 6: Final answer
   x = 7,639.67