Finding the Fourth Proportional to 9,739.82, 14,610.54 and 3,165.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,739.82 : 14,610.54 = 3,165.86 : x
2. Step 2: Convert to fraction form
   9,739.82/14,610.54 = 3,165.86/x
3. Step 3: Cross multiply
   9,739.82x = 14,610.54 × 3,165.86
4. Step 4: Simplify right side
   9,739.82x = 46,254,924.16
5. Step 5: Solve for x
   x = 46,254,924.16/9,739.82
6. Step 6: Final answer
   x = 4,749.05