Finding the Fourth Proportional to 9,743.52, 14,614.20 and 3,820.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,743.52 : 14,614.20 = 3,820.26 : x
2. Step 2: Convert to fraction form
   9,743.52/14,614.20 = 3,820.26/x
3. Step 3: Cross multiply
   9,743.52x = 14,614.20 × 3,820.26
4. Step 4: Simplify right side
   9,743.52x = 55,830,043.69
5. Step 5: Solve for x
   x = 55,830,043.69/9,743.52
6. Step 6: Final answer
   x = 5,729.97