Finding the Fourth Proportional to 9,549.78, 13,178.07 and 5,570.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,549.78 : 13,178.07 = 5,570.25 : x
2. Step 2: Convert to fraction form
   9,549.78/13,178.07 = 5,570.25/x
3. Step 3: Cross multiply
   9,549.78x = 13,178.07 × 5,570.25
4. Step 4: Simplify right side
   9,549.78x = 73,405,144.42
5. Step 5: Solve for x
   x = 73,405,144.42/9,549.78
6. Step 6: Final answer
   x = 7,686.58