Finding the Fourth Proportional to 9,526.78, 13,147.76 and 5,549.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,526.78 : 13,147.76 = 5,549.14 : x
2. Step 2: Convert to fraction form
   9,526.78/13,147.76 = 5,549.14/x
3. Step 3: Cross multiply
   9,526.78x = 13,147.76 × 5,549.14
4. Step 4: Simplify right side
   9,526.78x = 72,958,760.93
5. Step 5: Solve for x
   x = 72,958,760.93/9,526.78
6. Step 6: Final answer
   x = 7,658.28