Finding the Fourth Proportional to 5,140.27, 7,665.31 and 5,093.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140.27 : 7,665.31 = 5,093.52 : x
2. Step 2: Convert to fraction form
   5,140.27/7,665.31 = 5,093.52/x
3. Step 3: Cross multiply
   5,140.27x = 7,665.31 × 5,093.52
4. Step 4: Simplify right side
   5,140.27x = 39,043,422.53
5. Step 5: Solve for x
   x = 39,043,422.53/5,140.27
6. Step 6: Final answer
   x = 7,595.60