Finding the Fourth Proportional to 9,760.50, 14,636.16 and 4,210.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.50 : 14,636.16 = 4,210.38 : x
2. Step 2: Convert to fraction form
   9,760.50/14,636.16 = 4,210.38/x
3. Step 3: Cross multiply
   9,760.50x = 14,636.16 × 4,210.38
4. Step 4: Simplify right side
   9,760.50x = 61,623,795.34
5. Step 5: Solve for x
   x = 61,623,795.34/9,760.50
6. Step 6: Final answer
   x = 6,313.59