Finding the Fourth Proportional to 5,165.59, 7,693.71 and 5,140.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,165.59 : 7,693.71 = 5,140.42 : x
2. Step 2: Convert to fraction form
   5,165.59/7,693.71 = 5,140.42/x
3. Step 3: Cross multiply
   5,165.59x = 7,693.71 × 5,140.42
4. Step 4: Simplify right side
   5,165.59x = 39,548,900.76
5. Step 5: Solve for x
   x = 39,548,900.76/5,165.59
6. Step 6: Final answer
   x = 7,656.22