Finding the Fourth Proportional to 9,744.84, 14,614.82 and 3,822.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.84 : 14,614.82 = 3,822.93 : x
2. Step 2: Convert to fraction form
   9,744.84/14,614.82 = 3,822.93/x
3. Step 3: Cross multiply
   9,744.84x = 14,614.82 × 3,822.93
4. Step 4: Simplify right side
   9,744.84x = 55,871,433.82
5. Step 5: Solve for x
   x = 55,871,433.82/9,744.84
6. Step 6: Final answer
   x = 5,733.44