Finding the Fourth Proportional to 9,665.96, 14,498.34 and 3,740.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.96 : 14,498.34 = 3,740.42 : x
2. Step 2: Convert to fraction form
   9,665.96/14,498.34 = 3,740.42/x
3. Step 3: Cross multiply
   9,665.96x = 14,498.34 × 3,740.42
4. Step 4: Simplify right side
   9,665.96x = 54,229,880.90
5. Step 5: Solve for x
   x = 54,229,880.90/9,665.96
6. Step 6: Final answer
   x = 5,610.40