Finding the Fourth Proportional to 9,744.81, 14,606.73 and 4,200.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.81 : 14,606.73 = 4,200.76 : x
2. Step 2: Convert to fraction form
   9,744.81/14,606.73 = 4,200.76/x
3. Step 3: Cross multiply
   9,744.81x = 14,606.73 × 4,200.76
4. Step 4: Simplify right side
   9,744.81x = 61,359,385.37
5. Step 5: Solve for x
   x = 61,359,385.37/9,744.81
6. Step 6: Final answer
   x = 6,296.62