Finding the Fourth Proportional to 9,729.54, 14,602.46 and 5,052.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729.54 : 14,602.46 = 5,052.42 : x
2. Step 2: Convert to fraction form
   9,729.54/14,602.46 = 5,052.42/x
3. Step 3: Cross multiply
   9,729.54x = 14,602.46 × 5,052.42
4. Step 4: Simplify right side
   9,729.54x = 73,777,760.95
5. Step 5: Solve for x
   x = 73,777,760.95/9,729.54
6. Step 6: Final answer
   x = 7,582.86