Finding the Fourth Proportional to 9,757.56, 14,638.52 and 3,835.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.56 : 14,638.52 = 3,835.02 : x
2. Step 2: Convert to fraction form
   9,757.56/14,638.52 = 3,835.02/x
3. Step 3: Cross multiply
   9,757.56x = 14,638.52 × 3,835.02
4. Step 4: Simplify right side
   9,757.56x = 56,139,016.97
5. Step 5: Solve for x
   x = 56,139,016.97/9,757.56
6. Step 6: Final answer
   x = 5,753.39