Finding the Fourth Proportional to 9,745.34, 14,615.57 and 3,823.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,745.34 : 14,615.57 = 3,823.43 : x
2. Step 2: Convert to fraction form
   9,745.34/14,615.57 = 3,823.43/x
3. Step 3: Cross multiply
   9,745.34x = 14,615.57 × 3,823.43
4. Step 4: Simplify right side
   9,745.34x = 55,881,608.81
5. Step 5: Solve for x
   x = 55,881,608.81/9,745.34
6. Step 6: Final answer
   x = 5,734.19