Finding the Fourth Proportional to 9,744.71, 14,621.31 and 4,196.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.71 : 14,621.31 = 4,196.61 : x
2. Step 2: Convert to fraction form
   9,744.71/14,621.31 = 4,196.61/x
3. Step 3: Cross multiply
   9,744.71x = 14,621.31 × 4,196.61
4. Step 4: Simplify right side
   9,744.71x = 61,359,935.76
5. Step 5: Solve for x
   x = 61,359,935.76/9,744.71
6. Step 6: Final answer
   x = 6,296.75