Finding the Fourth Proportional to 5,171.98, 7,699.46 and 5,141.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,171.98 : 7,699.46 = 5,141.22 : x
2. Step 2: Convert to fraction form
   5,171.98/7,699.46 = 5,141.22/x
3. Step 3: Cross multiply
   5,171.98x = 7,699.46 × 5,141.22
4. Step 4: Simplify right side
   5,171.98x = 39,584,617.74
5. Step 5: Solve for x
   x = 39,584,617.74/5,171.98
6. Step 6: Final answer
   x = 7,653.68