Finding the Fourth Proportional to 5,142.78, 7,669.01 and 5,096.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.78 : 7,669.01 = 5,096.00 : x
2. Step 2: Convert to fraction form
   5,142.78/7,669.01 = 5,096.00/x
3. Step 3: Cross multiply
   5,142.78x = 7,669.01 × 5,096.00
4. Step 4: Simplify right side
   5,142.78x = 39,081,306.87
5. Step 5: Solve for x
   x = 39,081,306.87/5,142.78
6. Step 6: Final answer
   x = 7,599.26