Finding the Fourth Proportional to 7,540, 10,404.18 and 4,182.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540 : 10,404.18 = 4,182.76 : x
2. Step 2: Convert to fraction form
   7,540/10,404.18 = 4,182.76/x
3. Step 3: Cross multiply
   7,540x = 10,404.18 × 4,182.76
4. Step 4: Simplify right side
   7,540x = 43,518,187.94
5. Step 5: Solve for x
   x = 43,518,187.94/7,540
6. Step 6: Final answer
   x = 5,771.64