Finding the Fourth Proportional to 5,171.35, 7,698.53 and 5,140.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,171.35 : 7,698.53 = 5,140.59 : x
2. Step 2: Convert to fraction form
   5,171.35/7,698.53 = 5,140.59/x
3. Step 3: Cross multiply
   5,171.35x = 7,698.53 × 5,140.59
4. Step 4: Simplify right side
   5,171.35x = 39,574,999.15
5. Step 5: Solve for x
   x = 39,574,999.15/5,171.35
6. Step 6: Final answer
   x = 7,652.74