Finding the Fourth Proportional to 9,734.80, 14,609.76 and 3,895.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,734.80 : 14,609.76 = 3,895.24 : x
2. Step 2: Convert to fraction form
   9,734.80/14,609.76 = 3,895.24/x
3. Step 3: Cross multiply
   9,734.80x = 14,609.76 × 3,895.24
4. Step 4: Simplify right side
   9,734.80x = 56,908,521.54
5. Step 5: Solve for x
   x = 56,908,521.54/9,734.80
6. Step 6: Final answer
   x = 5,845.89