Finding the Fourth Proportional to 9,570.12, 13,206.78 and 5,378.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,570.12 : 13,206.78 = 5,378.38 : x
2. Step 2: Convert to fraction form
   9,570.12/13,206.78 = 5,378.38/x
3. Step 3: Cross multiply
   9,570.12x = 13,206.78 × 5,378.38
4. Step 4: Simplify right side
   9,570.12x = 71,031,081.42
5. Step 5: Solve for x
   x = 71,031,081.42/9,570.12
6. Step 6: Final answer
   x = 7,422.17