Finding the Fourth Proportional to 5,096.02, 7,025.79 and 3,678.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.02 : 7,025.79 = 3,678.52 : x
2. Step 2: Convert to fraction form
   5,096.02/7,025.79 = 3,678.52/x
3. Step 3: Cross multiply
   5,096.02x = 7,025.79 × 3,678.52
4. Step 4: Simplify right side
   5,096.02x = 25,844,509.03
5. Step 5: Solve for x
   x = 25,844,509.03/5,096.02
6. Step 6: Final answer
   x = 5,071.51