Finding the Fourth Proportional to 9,738.57, 14,610.15 and 3,164.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.57 : 14,610.15 = 3,164.76 : x
2. Step 2: Convert to fraction form
   9,738.57/14,610.15 = 3,164.76/x
3. Step 3: Cross multiply
   9,738.57x = 14,610.15 × 3,164.76
4. Step 4: Simplify right side
   9,738.57x = 46,237,588.87
5. Step 5: Solve for x
   x = 46,237,588.87/9,738.57
6. Step 6: Final answer
   x = 4,747.88