Finding the Fourth Proportional to 9,695.76, 14,540.76 and 3,540.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,695.76 : 14,540.76 = 3,540.24 : x
2. Step 2: Convert to fraction form
   9,695.76/14,540.76 = 3,540.24/x
3. Step 3: Cross multiply
   9,695.76x = 14,540.76 × 3,540.24
4. Step 4: Simplify right side
   9,695.76x = 51,477,780.18
5. Step 5: Solve for x
   x = 51,477,780.18/9,695.76
6. Step 6: Final answer
   x = 5,309.31