Finding the Fourth Proportional to 9,456.48, 14,185.33 and 3,214.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456.48 : 14,185.33 = 3,214.76 : x
2. Step 2: Convert to fraction form
   9,456.48/14,185.33 = 3,214.76/x
3. Step 3: Cross multiply
   9,456.48x = 14,185.33 × 3,214.76
4. Step 4: Simplify right side
   9,456.48x = 45,602,352.51
5. Step 5: Solve for x
   x = 45,602,352.51/9,456.48
6. Step 6: Final answer
   x = 4,822.34