Finding the Fourth Proportional to 9,693.76, 14,537.76 and 3,538.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,693.76 : 14,537.76 = 3,538.24 : x
2. Step 2: Convert to fraction form
   9,693.76/14,537.76 = 3,538.24/x
3. Step 3: Cross multiply
   9,693.76x = 14,537.76 × 3,538.24
4. Step 4: Simplify right side
   9,693.76x = 51,438,083.94
5. Step 5: Solve for x
   x = 51,438,083.94/9,693.76
6. Step 6: Final answer
   x = 5,306.31