Finding the Fourth Proportional to 9,760.96, 14,636.58 and 3,186.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.96 : 14,636.58 = 3,186.34 : x
2. Step 2: Convert to fraction form
   9,760.96/14,636.58 = 3,186.34/x
3. Step 3: Cross multiply
   9,760.96x = 14,636.58 × 3,186.34
4. Step 4: Simplify right side
   9,760.96x = 46,637,120.32
5. Step 5: Solve for x
   x = 46,637,120.32/9,760.96
6. Step 6: Final answer
   x = 4,777.92