Finding the Fourth Proportional to 9,658.86, 14,478.48 and 3,734.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.86 : 14,478.48 = 3,734.16 : x
2. Step 2: Convert to fraction form
   9,658.86/14,478.48 = 3,734.16/x
3. Step 3: Cross multiply
   9,658.86x = 14,478.48 × 3,734.16
4. Step 4: Simplify right side
   9,658.86x = 54,064,960.88
5. Step 5: Solve for x
   x = 54,064,960.88/9,658.86
6. Step 6: Final answer
   x = 5,597.45