Finding the Fourth Proportional to 5,140.41, 7,665.46 and 5,093.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140.41 : 7,665.46 = 5,093.63 : x
2. Step 2: Convert to fraction form
   5,140.41/7,665.46 = 5,093.63/x
3. Step 3: Cross multiply
   5,140.41x = 7,665.46 × 5,093.63
4. Step 4: Simplify right side
   5,140.41x = 39,045,017.02
5. Step 5: Solve for x
   x = 39,045,017.02/5,140.41
6. Step 6: Final answer
   x = 7,595.70