Finding the Fourth Proportional to 9,741.50, 13,443.54 and 5,549.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,741.50 : 13,443.54 = 5,549.78 : x
2. Step 2: Convert to fraction form
   9,741.50/13,443.54 = 5,549.78/x
3. Step 3: Cross multiply
   9,741.50x = 13,443.54 × 5,549.78
4. Step 4: Simplify right side
   9,741.50x = 74,608,689.42
5. Step 5: Solve for x
   x = 74,608,689.42/9,741.50
6. Step 6: Final answer
   x = 7,658.85