Finding the Fourth Proportional to 5,096.10, 7,646.27 and 4,687.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.10 : 7,646.27 = 4,687.41 : x
2. Step 2: Convert to fraction form
   5,096.10/7,646.27 = 4,687.41/x
3. Step 3: Cross multiply
   5,096.10x = 7,646.27 × 4,687.41
4. Step 4: Simplify right side
   5,096.10x = 35,841,179.02
5. Step 5: Solve for x
   x = 35,841,179.02/5,096.10
6. Step 6: Final answer
   x = 7,033.06