Finding the Fourth Proportional to 7,142.78, 9,846.89 and 5,251.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,142.78 : 9,846.89 = 5,251.02 : x
2. Step 2: Convert to fraction form
   7,142.78/9,846.89 = 5,251.02/x
3. Step 3: Cross multiply
   7,142.78x = 9,846.89 × 5,251.02
4. Step 4: Simplify right side
   7,142.78x = 51,706,190.07
5. Step 5: Solve for x
   x = 51,706,190.07/7,142.78
6. Step 6: Final answer
   x = 7,238.95